Solutions in Bessel‐potential spaces for wave equations with nonlinear damping | Zendy

Banquet Carlos | Zendy; Ferreira Lucas C. F. | Zendy; VillamizarRoa Élder J. | Zendy

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Solutions in Bessel‐potential spaces for wave equations with nonlinear damping

Author(s) -

Banquet Carlos,

Ferreira Lucas C. F.,

VillamizarRoa Élder J.

Publication year - 2017

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4412

Subject(s) - bessel function , mathematics , uniqueness , nonlinear system , mathematical analysis , class (philosophy) , wave equation , space (punctuation) , bessel process , physics , classical orthogonal polynomials , linguistics , philosophy , gegenbauer polynomials , quantum mechanics , artificial intelligence , computer science , orthogonal polynomials

We consider a semilinear wave equation with nonlinear damping in the whole spaceR n , n ⩾ 2 . Local‐in‐time existence and uniqueness results are obtained in the class of Bessel‐potential spacesH p s = ( I − Δ ) − s / 2L p . Copyright © 2017 John Wiley & Sons, Ltd.

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