Math 516 (PDE I) References
- Main text: L.C. Evans, Partial Differential Equations
- Some other 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
- Elliptic equations, including Schauder theory,
L^p theory, and DeGiorgi-Nash-Moser theory:
- D. Gilbarg- N. Trudinger, Elliptic PDE of second order
- 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
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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