Акмеология. 2019. P.. 27-33
SHARP ESTIMATES FOR THE GRADIENT OF SOLUTIONS TO THE HEAT EQUATION
Various sharp pointwise estimates for the gradient of solutions to the heat equation are obtained. The Dirichlet and Neumann conditions are prescribed on the boundary of a half-space. All data belong to the Lebesgue space Lp. Derivation of the coefficients is based on solving certain optimization problems with respect to a vector parameter inside of an integral over the unit sphere.
Authors
KRESIN G. 1 , MAZ'ya V. 2, 3
Journal
Publisher
Федеральное государственное унитарное предприятие Академический научно-издательский, производственно-полиграфический и книгораспространительский центр Наука
Issue number
3
Language
English
Pages
136-153
State
Published
Volume
31
Year
2019
Organizations
- 1 Ariel University
- 2 University of Liverpool, Linkoping University
- 3 RUDN University
Keywords
heat equation; sharp pointwise estimates for the gradient; first and second boundary value problems
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