Sharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer

DOI10.1080/17476933.2020.1797707zbMath1467.35070arXiv2004.07942OpenAlexW3046940635MaRDI QIDQ4994460

Vladimir Gilelevich Maz'ya, Gershon I. Kresin

Publication date: 18 June 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07942

zbMATH Keywords

Cauchy problemsharp pointwise estimatesweakly coupled parabolic systemdirectional derivative of a vector-valued function

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

• Optimal pointwise stimates for derivatives of solutions to Laplace, Lamé, and Stokes equations
• Sharp real-part theorems. A unified approach. Translated from Russian and edited by T. Shaposhnikova
• Invariant convex bodies for strongly elliptic systems
• Sharp estimates for the gradient of solutions to the heat equation
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