Modulation Spaces: With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations - Softcover
Book 84 of 88: Applied and Numerical Harmonic Analysis
Synopsis
Notions of real, functional and Fourier analysis.- Modulation spaces.- Equivalent definitions of modulation spaces.- Pseudodifferential operators.- Weighted modulation spaces.- Modulation spaces and other function spaces.- Applications to partial differential equations.- A proof of Banach's fixed point theorem.- The Picard-Lindelöf and Peano theorems.- Gronwall's lemma.- Local well-posedness of NLS on Sobolev spaces.
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