Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation, II

DOI10.1002/mana.201700144zbMath1397.35156OpenAlexW2566108700MaRDI QIDQ4683706

Alessandro Palmieri, Michael Reissig

Publication date: 21 September 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201700144

zbMATH Keywords

global existence in timehigher regularityfractional chain rulesmall data energy solutionssemi-linear scale-invariant wave equations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fractional derivatives and integrals (26A33) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71) Harmonic analysis and PDEs (42B37)

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