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"This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including: a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, and a significantly expanded bibliography."--Publisher's description.
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Stochastic differential equations --- Equations différentielles stochastiques --- Stochastic differential equations. --- Numerical analysis -- Probabilistic methods, simulation and stochastic differential equations -- Stochastic differential and integral equations. --- Probability theory and stochastic processes -- Markov processes -- Brownian motion. --- Probability theory and stochastic processes -- Stochastic analysis -- Stochastic ordinary differential equations. --- Numerical analysis -- Partial differential equations, boundary value problems -- Probabilistic methods, particle methods, etc.. --- Equations différentielles stochastiques
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Functional analysis --- Measure theory --- Analyse fonctionnelle --- Mesure, Théorie de la --- Measure theory. --- Functional analysis. --- Mesure, Théorie de la
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Convergence --- Differential equations, Nonlinear --- Differential equations, Partial --- Convergence (Mathématiques) --- Equations différentielles non linéaires --- Equations aux dérivées partielles --- Differential equations, Partial. --- Differential equations, Nonlinear. --- Convergence. --- Convergence (Mathématiques) --- Equations différentielles non linéaires --- Equations aux dérivées partielles
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Partial differential equations --- Numerical methods of optimisation --- differentiaalvergelijkingen --- kansrekening --- optimalisatie
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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. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on the calculus of variations and partial differential equations is contributed by Elvira Mascolo.
Partial differential equations --- Numerical methods of optimisation --- differentiaalvergelijkingen --- kansrekening --- optimalisatie
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