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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.