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Fourier method revised to solve partial differential equations and prove uniqueness at one stroke. (English) Zbl 1441.35101

Summary: We present a novel application of Fourier analysis for solving PDEs which is much faster than the usual separation of variables method and, moreover, it implies uniqueness of the obtained solution at the same time.

MSC:

35C10 Series solutions to PDEs
35K20 Initial-boundary value problems for second-order parabolic equations
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
35G16 Initial-boundary value problems for linear higher-order PDEs
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References:

[1] D. Borhtwick,Introduction to partial differential equations. Springer, 2016. · Zbl 1364.35001
[2] T.
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