Math 517 (PDE II) References
- Main text: L.C. Evans, Partial Differential Equations
- Some broad PDE books:
- R. McOwen, Partial Differential Equations
- M. Taylor, Partial Differential Equations, Vol I-III
- F. John, Partial Differential Equations
- W. Strauss, Partial Differential Equations
- J. Rauch, Partial Differential Equations
- L.C. Evans, Weak Convergence Methods for
Nonlinear PDE
- Parabolic equations:
- A. Pazy, Semigroups of linear operators
- G. Lieberman, Second order parabolic differential equations
- A. Lunardi, Analytic semingroups and optimal regularity in
parabolic problems
- Wave and dispersive equations:
- W. Strauss, Nonlinear wave equations
- T. Cazenave, Semilinear Schroedinger equations
-
Optimal transportation: C. Villani,
Topics in Optimal Transportation
-
Measure theory, integration, functional analysis:
- G. Folland, Real Analysis
- E. Lieb- M. Loss, Analysis
- Royden, Real Analysis
- M. Reed- B. Simon Vol. I: Functional Analysis