PARTIAL DIFFERENTIAL EQUATIONS II

Introduction to distribution theory and Sobolev spaces, Fundamental solutions for Laplace, heat and wave operations.

Second order elliptic equations: Boundary value problems, Regularity of weak solutions, Maximum principle, Eigenvalues.

Semi group theory:Hille-Yosida theorem, Applications to heat, Schroedinger and wave equations.

System of first order hyperbolic equations: Bicharacteristics, Shocks, Ray theory, symmetric hyperbolic systems.  

Books


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Last updated: 20 May 2024