Atlas of products for wave-Sobolev spaces on ℝ¹⁺³

DOI10.1090/S0002-9947-2011-05250-5zbMath1255.35016arXiv1001.5372OpenAlexW2907269575MaRDI QIDQ5388816

Sigmund Selberg, Piero D'Ancona, Damiano Foschi

Publication date: 20 April 2012

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

Full work available at URL: https://arxiv.org/abs/1001.5372

zbMATH Keywords

dyadic decompositionproduct estimateweighted \(H^s\) spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Wave equation (35L05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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Cites Work

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• Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system
• Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
• Space‐time estimates for null forms and the local existence theorem
• Bilinear space-time estimates for homogeneous wave equations
• BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS