Luis A. Caffarelli – författare
Visar alla böcker från författaren Luis A. Caffarelli. Handla med fri frakt och snabb leverans.
4 produkter
4 produkter
750 kr
Skickas inom 7-10 vardagar
This book provides a self-contained development of the regularity theory for solutions of fully nonlinear elliptic equations. Caffarelli and Cabre offer a detailed presentation of all techniques needed to extend the classical Schauder and Calderon-Zygmund regularity theories for linear elliptic equations to the fully nonlinear context. The authors present the key ideas and prove all the results needed for the regularity theory of viscosity solutions of fully nonlinear equations. The book contains the study of convex fully nonlinear equations and fully nonlinear equations with variable coefficients. This book is suitable as a text for graduate courses in nonlinear elliptic partial differential equations.
1 561 kr
Skickas inom 11-20 vardagar
The research topic for this IAS/PCMI Summer Session was nonlinear wave phenomena. Mathematicians from the more theoretical areas of PDEs were brought together with those involved in applications. The goal was to share ideas, knowledge, and perspectives. How waves, or 'frequencies', interact in nonlinear phenomena has been a central issue in many of the recent developments in pure and applied analysis. It is believed that wavelet theory - with its simultaneous localization in both physical and frequency space and its lacunarity - is and will be a fundamental new tool in the treatment of the phenomena.Included in this volume are write-ups of the 'general methods and tools' courses held by Jeff Rauch and Ingrid Daubechies. Rauch's article discusses geometric optics as an asymptotic limit of high-frequency phenomena. He shows how nonlinear effects are reflected in the asymptotic theory. In the article ""Harmonic Analysis, Wavelets and Applications"" by Daubechies and Gilbert the main structure of the wavelet theory is presented.Also included are articles on the more 'specialized' courses that were presented, such as ""Nonlinear Schrodinger Equations"" by Jean Bourgain and ""Waves and Transport"" by George Papanicolaou and Leonid Ryzhik. Susan Friedlander provides a written version of her lecture series ""Stability and Instability of an Ideal Fluid"", given at the Mentoring Program for Women in Mathematics, a preliminary program to the Summer Session. This Summer Session brought together students, fellows, and established mathematicians from all over the globe to share ideas in a vibrant and exciting atmosphere. This book presents the compelling results.
Del 1813 - Lecture Notes in Mathematics
Optimal Transportation and Applications
Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2–8, 2001
Häftad, Engelska, 2003
411 kr
Skickas inom 10-15 vardagar
Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view.The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.
Del 1927 - Lecture Notes in Mathematics
Calculus of Variations and Nonlinear Partial Differential Equations
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005
Häftad, Engelska, 2007
538 kr
Skickas inom 10-15 vardagar
This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro, Italy in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. Coverage includes transport equations for nonsmooth vector fields, viscosity methods for the infinite Laplacian, and geometrical aspects of symmetrization.