L p − L q Decay Estimates for the Wave Equations with Exponentially Growing Speed of Propagation

DOI10.1080/0003681031000063720zbMath1041.35020OpenAlexW1999892127MaRDI QIDQ4435621

Anahit Galstian

Publication date: 17 November 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681031000063720

zbMATH Keywords

Fourier multipliersBessel equationconfluent hypergeometric functionsinterpolation arguments

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (11)

On a semilinear wave equation in anti-de Sitter spacetime: The critical case ⋮ The global existence of small self-interacting scalar field propagating in the contracting universe ⋮ Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity ⋮ Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime ⋮ Global existence of the self-interacting scalar field in the de Sitter universe ⋮ Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime ⋮ Fundamental solutions of the wave equation in Robertson-Walker spaces ⋮ Representation of solutions of second order one-dimensional model hyperbolic equations ⋮ Lp - Lq Decay Estimates for Wave Equations with Time-Dependent Coefficients ⋮ A novel integral transform approach to solving hyperbolic equations in the curved space-times ⋮ Generalised energy conservation law for wave equations with variable propagation speed

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• \(L^p\)-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. I
• On \(L_2-L_{p'}\) estimates for the wave-equation
• Global existence for nonlinear wave equations
• One application of Floquet's theory toLp-Lq estimates for hyperbolic equations with very fast oscillations
• Parametric Resonance in Wave Equations with a Time-Periodic Potential
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