Progress in Nonlinear Differential Equations and Their Applications – serie
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164 produkter
Regularity Theory for Mean Curvature Flow
Av Klaus Ecker
Inbunden, 2003
1094 kr
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Mean curvature flow and related flows are important tools in mathematics and mathematical physics. For example, the famous Penrose conjecture in general relativity by Huisken and Ilmanan was based on a curvature flow approach. Under mean curvature flow, surfaces usually develop singularities in …
Infinite Dimensional Morse Theory and Multiple Solution Problems
Av K.C. Chang
Inbunden, 1992
1855 kr
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The book is based on my lecture notes "Infinite dimensional Morse theory and its applications", 1985, Montreal, and one semester of graduate lectures delivered at the University of Wisconsin, Madison, 1987. Since the aim of this monograph is to give a unified account of the topics in critical point …
Nonlinear Diffusion Equations and Their Equilibrium States, 3
Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales
Inbunden, 1991
1638 kr
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Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are …
Periodic Solutions of Singular Lagrangian Systems
Av A. Ambrosetti, V. Coti-Zelati
Inbunden, 1993
1094 kr
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Thismonographdealswiththeexistenceofperiodicmotionsof Lagrangiansystemswith ndegreesoffreedom ij + V'(q) =0, where Visasingularpotential.Aprototypeofsuchaproblem, evenifitisnottheonlyphysicallyinterestingone,istheKepler problem .. q 0 q+yqr= . This,jointlywiththemoregeneralN-bodyproblem,hasalways …
Topics in the Mathematical Modelling of Composite Materials
Av Robert Kohn, Andrej V. Cherkaev m. fl.
Inbunden, 1997
2182 kr
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Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate rials. This activity brings together a number of related themes, including: ( 1) the use of weak convergence as a …
Nonlinear Waves and Weak Turbulence
with Applications in Oceanography and Condensed Matter Physics
Av FITZMAURICE, GURARIE m. fl.
Inbunden, 1993
1638 kr
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This book is an outgrowth of the NSF-CBMS conference Nonlinear Waves £3 Weak Turbulence held at Case Western Reserve University in May 1992. The principal speaker at the conference was Professor V. E. Zakharov who delivered a series of ten lectures outlining the historical and ongoing developments …
Introduction to Γ-Convergence
Inbunden, 1993
2186 kr
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The last twentyfive years have seen an increasing interest for variational convergences and for their applications to different fields, like homogenization theory, phase transitions, singular perturbations, boundary value problems in wildly perturbed domains, approximation of variatonal problems, …
Ginzburg-Landau Vortices
Av Fabrice Bethuel, Haim Brezis m. fl.
Häftad, 1994
1094 kr
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The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2; x~ + x~ = Ixl < 1}. 1 Consider the Ginzburg-Landau functional 2 2 (1) E~(u) = ~ LIVul + 4~2 L(lu1 _1)2 which is defined for maps u E H1(G;C) also …
Models of Phase Transitions
Inbunden, 1996
1420 kr
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..."What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a),he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, …
Regularity Theory for Mean Curvature Flow
Av Klaus Ecker
Häftad, 2004
1203 kr
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Mean curvature flow and related flows are important tools in mathematics and mathematical physics. For example, the famous Penrose conjecture in general relativity by Huisken and Ilmanan was based on a curvature flow approach. Under mean curvature flow, surfaces usually develop singularities in …
Geometry of Harmonic Maps
Av Yuanlong Xin
Inbunden, 1996
1094 kr
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Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics, minimal surfaces and harmonic functions. Harmonic maps are also closely related to holomorphic maps in several complex variables, to the …
Topological Nonlinear Analysis II
Degree, Singularity and variations
Av Michele Matzeu, Alfonso Vignoli
Inbunden, 1997
1638 kr
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The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in nonlin ear analysis during the last three decades. It is intended, at least partly, as a continuation of Topological Nonlinear Analysis: Degree, Singularity …
Partial Differential Equations and Mathematical Physics
The Danish-Swedish Analysis Seminar, 1995
Av Lars Hörmander, Anders Melin
Inbunden, 1996
1638 kr
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On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swedish Analysis Seminar". The main topic was partial differen- tial equations and related problems of mathematical physics. The lectures given are …
Minimax Theorems
Inbunden, 1997
1529 kr
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Many boundary value problems are equivalent to Au=O (1) where A : X ---+ Y is a mapping between two Banach spaces. When the problem is variational, there exists a differentiable functional 0 and e E X such that lIell > rand inf
Stability of Functional Equations in Several Variables
Av D.H. Hyers, G. Isac m. fl.
Inbunden, 1998
1094 kr
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The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped …
Systems of Conservation Laws
Two-Dimensional Riemann Problems
Av Yuxi Zheng
Inbunden, 2001
1096 kr
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[see attached] This work should serve as an excellent text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. Written in a clear, accessible style, the book emphasizes more recent results that …
Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control
Av Piermarco Cannarsa, Carlo Sinestrari
Inbunden, 2004
1205 kr
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Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This text is the first comprehensive exposition of the theory of semiconcave functions, and of the role they play in optimal control …
Spatial Patterns
Higher Order Models in Physics and Mechanics
Inbunden, 2001
552 kr
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The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are …
Implicit Partial Differential Equations
Av Bernard Dacorogna, Paolo Marcellini
Inbunden, 1999
552 kr
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Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of …
Energy Methods for Free Boundary Problems
Applications to Nonlinear PDEs and Fluid Mechanics
Av S.N. Antontsev, J.I. Diaz m. fl.
Inbunden, 2001
1641 kr
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For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial …
Linear and Nonlinear Aspects of Vortices
The Ginzburg-andau Model
Av Frank Pacard, Tristan Riviere
Inbunden, 2000
1096 kr
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Equations of the Ginzburg–Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals. Building on the results presented by Bethuel, Brazis, and Helein, this current work further analyzes …
Stability Technique for Evolution Partial Differential Equations
A Dynamical Systems Approach
Av Victor A. Galaktionov, Juan Luis Vázquez
Inbunden, 2003
552 kr
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common feature is that these evolution problems can be formulated as asymptoti cally small perturbations of certain dynamical systems with better-known behaviour. Now, it usually happens that the perturbation is small in a very weak sense, hence the difficulty (or impossibility) of applying more …
Nonlinear Partial Differential Equations
Asymptotic Behavior of Solutions and Self-Similar Solutions
Av Mi-Ho Giga, Yoshikazu Giga m. fl.
Inbunden, 2010
987 kr
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The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?erential equations of di?usion type. For instance, we examine such eq- tions by analyzing special so-called self-similar solutions. We are in …
Advances in the Theory of Shock Waves
Av H. Freistuehler, A. Szepessy m. fl.
Inbunden, 2001
1096 kr
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In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the …
Nonlinear Analysis and its Applications to Differential Equations
Av M. Ramos Grossinho, M. de Rosario m. fl.
Inbunden, 2000
1096 kr
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In this book we present a significant part ofthe material given in an autumn school on "Nonlinear Analysis and Differential Equations," held at the CMAF (Centro de Matematica e Aplica
Carleman Estimates and Applications to Uniqueness and Control Theory
Av Ferrucio Colombini, C. Zuily m. fl.
Inbunden, 2001
1096 kr
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Consists of expository articles and research papers highlighting new results on Carleman estimates and their applications. Focus is on unique continuation, control theory, and inverse problems. New results on strong uniqueness for second or higher order operators are explored in detail. Also …
Global Propagation of Regular Nonlinear Hyperbolic Waves
Av Tatsien Li, Wang Libin
Inbunden, 2009
1096 kr
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This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically beginning with introductory material and leading to the original research of the …
Variational and Topological Methods in the Study of Nonlinear Phenomena
Inbunden, 2002
1096 kr
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Covers recent advances in the field of nonlinear functional analysis and its applications to nonlinear pdes and odes, with particular emphasis on variational and topological methods. Topics covered include: * concentration phenomena in pdes, * variational methods with applications to pdes and …
Free Energy and Self-Interacting Particles
Inbunden, 2005
1096 kr
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This book examines a system of parabolic-elliptic partial differential eq- tions proposed in mathematical biology, statistical mechanics, and chemical kinetics. In the context of biology, this system of equations describes the chemotactic feature of cellular slime molds and also the capillary …
Partial Differential Equations and Mathematical Physics
In Memory of Jean Leray
Av Kunihiko Kajitani, Jean Vaillant
Inbunden, 2002
1096 kr
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A wide range of topics in partial differential equations, complex analysis, and mathematical physics are presented to commemorate the memory of the great French mathematician Jean Leray. The 17 research articles are written by some of the world's leading mathematicians who explore important current …
