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Results tagged with ap.analysis-of-pdes
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user 43056
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
1
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Existence and uniqueness for two-dimensional time-dependent Schrödinger equation
On bounded domains, for some nonlinear schrodinger equations, you might find papers by H. Brezis and T. Gallouet useful. The title of the paper is "Nonlinear Schrodinger evolution equations", and they …
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Textbooks for PDE between Strauss and Folland
I think that an excellent book for linear PDE's is by F. Treves, and is called "Basic Linear Partial differential equations". It is excellent because it uses the language of distributions from the ver …