FMVE125 Partial differential equations

Kursens poäng (högskolepoäng, hp) 15
Kursen ges normalt Every 2nd year
Tillhör forskarskola Matematik
Tillhör institution Matematiska vetenskaper
Kursansvarig
Nils E M Svanstedt
Kursbeskrivning
The course gives an introduction moden theory and methods for linear and nonlinear partial differential equations. Course contents: Fundamental concepts from functional analysis like embedding theorems, weak and strong compactness. Existence and uniqueness of weak solutions to linear elliptic, parabolic and hyperbolic equations, maximum principles, variational methods for nonlinear problems, monotone operators, viscosity solutions for Hamilton-Jacobi equations, linear and nonlinear hyperbolic conservation laws.
Litteratur
L . C Evans, Partial Differential Equations, Graduate Studies in Mathematics vol. 19, American Mathematical Society, Providence, Rhode Island

Publicerad: ti 29 jan 2013.