Time-weighted estimates in Lorentz spaces and self-similarity for wave equations with singular potentials

DOI10.2140/APDE.2017.10.423zbMath1361.35037OpenAlexW2593061232MaRDI QIDQ514642

Lucas C. F. Ferreira, Marcelo Fernandes de Almeida

Publication date: 9 March 2017

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/apde.2017.10.423

zbMATH Keywords

Lorentz spacesradial symmetrycritical weak-\(L^{p}\) spacespredual of weak-\(L^{p}\)

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Symmetries, invariants, etc. in context of PDEs (35B06) Self-similar solutions to PDEs (35C06) Second-order semilinear hyperbolic equations (35L71)

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