Sharp pointwise estimates for the gradients of solutions to linear parabolic second order equation in the layer

zbMath1484.35094arXiv1909.01873MaRDI QIDQ5862269

Vladimir Gilelevich Maz'ya, Gershon I. Kresin

Publication date: 7 March 2022

Full work available at URL: https://arxiv.org/abs/1909.01873

zbMATH Keywords

Cauchy problempointwise estimates for the gradientsecond-order parabolic equation with constant coefficients

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

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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