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3 produkter
3 produkter
852 kr
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This volume contains 14 research papers, which cover various topics, including blowup questions for quasilinear equations in 2-D, uniqueness results for systems of conservation laws in 1-D, conservation effects for critical nonlinear wave equations, diffraction of nonlinear waves, propagation of singularities in scattering theory,and caustics for semilinear oscillations. Other topics linked to microlocal analysis which are discussed are Sobolev spaces in Weyl-Hormander calculus, local solvability for pseudodifferential equations, and hypoellipticity for highly degenerate operators. A result for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for the characteristic initial boundary value problem are also included. Most of the papers contain detailed proofs which are accessible to graduate students and active researchers in connected areas.
1 064 kr
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This work, consisting of expository articles as well as research papers, highlights new results on Carleman estimates and their applications. The material is largely an outgrowth of an international meeting held in Cortona, Italy and has been thoroughly refereed. Unique continuation, control theory, and inverse problems are the focus of the volume. New results on strong uniqueness for second or higher order operators are explored in detail in several papers. In the area of control theory, applications of Carleman estimates to stabilization, observability, and exact control for the wave and the Schroedinger equations are given. A final paper presents open problems on the controllability of linear and semilinear heat equations. Topics covered in the volume will be of interest to researchers and graduate students of partial differential equations and their applications.
Del 32 - Progress in Nonlinear Differential Equations and Their Applications
Geometrical Optics and Related Topics
Häftad, Engelska, 2012
535 kr
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This book contains fourteen research papers which are expanded versions of conferences given at a meeting held in September 1996 in Cortona, Italy. The topics include blowup questions for quasilinear equations in two dimensions, time decay of waves in LP, uniqueness results for systems of conservation laws in one dimension, concentra- tion effects for critical nonlinear wave equations, diffraction of nonlin- ear waves, propagation of singularities in scattering theory, caustics for semi-linear oscillations. Other topics linked to microlocal analysis are Sobolev embedding theorems in Weyl-Hormander calculus, local solv- ability for pseudodifferential equations, hypoellipticity for highly degen- erate operators. The book also contains a result on uniqueness for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for characteristic initial-boundary value problems. On each topic listed above, one will find new results as well as a description of the state of the art. Various methods related to nonlinear geometrical optics are a transversal theme of several articles.Pseu- dodifferential techniques are used to tackle classical PDE problems like Cauchy uniqueness. We are pleased to thank the speakers for their contributions to the meeting: Serge Alinhac, Mike Beals, Alberto Bressan, Jean-Yves Chemin, Christophe Cheverry, Daniele Del Santo, Nils Dencker, Patrick Gerard, Lars Hormander, John Hunter, Richard Melrose, Guy Metivier, Yoshinori Morimoto, and Tatsuo Nishitani. The meeting was made possible in part by the financial support of a European commission pro- gram, "Human capital and mobility CHRX-CT94-044".