Precise dispersive estimates for the wave equation inside cylindrical convex domains

DOI10.1090/proc/15858zbMath1497.35074OpenAlexW4200042762MaRDI QIDQ5097330

Meas Len

Publication date: 23 August 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15858

zbMATH Keywords

wave equationStrichartz estimatesdispersive estimatescylindrical convex domain

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) A priori estimates in context of PDEs (35B45)

Related Items (3)

Dispersive estimates for the wave equation inside cylindrical convex domains ⋮ Dispersion for the wave equation outside a cylinder in \(\mathbb{R}^3\) ⋮ STRICHARTZ ESTIMATES FOR THE WAVE EQUATION INSIDE CYLINDRICAL CONVEX DOMAINS

Cites Work

• Dispersive estimates for the wave equation inside cylindrical convex domains: a model case
• Strichartz estimates for the Schrödinger equation on~polygonal domains
• Strichartz estimates for the wave equation on manifolds with boundary
• On \(L_2-L_{p'}\) estimates for the wave-equation
• Generalized Strichartz inequalities for the wave equation
• Strichartz estimates for the wave equation on a 2D model convex domain
• New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain
• Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case
• Fourier Analysis and Nonlinear Partial Differential Equations
• Square function and heat flow estimates on domains
• Strichartz Estimates for the Wave Equation on Flat Cones
• On Strichartz estimates for Schrödinger operators in compact manifolds with boundary

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