Partial Differential Equations
Book information
Description
This book offers an ideal introduction to the theory of partial differential equations. It focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. It also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. It also explores connections between elliptic, parabolic, and hyperbolic equations as well as the connection with Brownian motion and semigroups. This second edition features a new chapter on reaction-diffusion equations and systems.
Similar books
Partial Differential Equations
2012 · PDF
Partial Differential Equations
2012 · EPUB
Mathematical Methods in Biology and Neurobiology (Universitext)
2014 · PDF
Riemannian Geometry and Geometric Analysis (Universitext)
2008 · PDF
Mathematical Principles of Topological and Geometric Data Analysis (Mathematics of Data, 2)
2023 · PDF
The Evolution of Chemical Knowledge: A Formal Setting for its Analysis (Wissenschaft und Philosophie – Science and Philosophy – Sciences et Philosophie)
2022 · PDF
Compact Riemann Surfaces: An Introduction to Contemporary Mathematics (Universitext)
2006 · PDF
Partial Differential Equations
2007 · PDF