An Improved Strichartz Estimate for Systems with Divergence Free Data

DOI10.1080/03605302.2011.594475zbMath1244.35079arXiv1011.6349OpenAlexW1982510648MaRDI QIDQ5389576

Po-Lam Yung, Sagun Chanillo

Publication date: 21 April 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6349

zbMATH Keywords

Strichartz estimatesdivergence-freediv-curl

Mathematics Subject Classification ID

Wave equation (35L05) Schrödinger operator, Schrödinger equation (35J10) Second-order hyperbolic equations (35L10)

Related Items (7)

Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism ⋮ The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity ⋮ Approximation in higher-order Sobolev spaces and Hodge systems ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ Local $\mathbf {L}^{1}$ estimates for elliptic systems of complex vector fields ⋮ L1 Sobolev estimates for (pseudo)-differential operators and applications ⋮ Bourgain-Brezis inequalities on symmetric spaces of non-compact type

Cites Work

• New estimates for elliptic equations and Hodge type systems
• Continuity of solutions of uniformly elliptic equations in \(\mathbb{R}^ 2\)
• New estimates for the Laplacian, the div-curl, and related Hodge systems
• Estimates for \(L^{1}\)-vector fields
• Generalized Strichartz inequalities for the wave equation
• Endpoint Strichartz estimates
• INHOMOGENEOUS STRICHARTZ ESTIMATES
• Inhomogeneous Strichartz estimates

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