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Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
1
vote
Classical solution of one dimensional Parabolic equation and a priori estimates
You can see this famous book :
O. A. Ladyzenskaja, V. A. Solonnikov, N. N. Ural'tseva, Linear and Quasilinear
Equations of Parabolic Type, AMS Transl. Monogr. 23, Providence,
R.I. (1968).
0
votes
Reference for De Giorgi-Nash-Moser theory
You can see the book of Emmanuele Dibenedetto, which deals with the operators (nonlinear) with divergence form. This book contains also a large reference, maybe you need it.
Degenerate Parabolic Equa …
1
vote
Infinitesimal generator of a semigroup with parameter
You can see these two books:
1) Daniel Daners and Pablo Koch Medina: Abstract evolution equations, periodic problems and applications
2) Peter Hess: Periodic-Parabolic Boundary Value Problems and Po …