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This advanced graduate-level text presents the fundamental tools of Fourier analysis and their applications to nonlinear partial differential equations. The book develops key analytical techniques, including Sobolev spaces, distribution theory, variational methods, and critical point theory, and applies them to the study of elliptic and evolution equations. It is widely used as a reference for students and researchers in mathematical analysis and PDE theory.
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Edition: 1st
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Publisher: Springer
Publishing Year: 2011
ISBN:
Pages: 286