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 IIII
 F. John, Partial Differential Equations
 W. Strauss, Partial Differential Equations
 J. Rauch, Partial Differential Equations
 Elliptic equations, including Schauder theory,
L^p theory, and DeGiorgiNashMoser 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

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