A gradient estimate for solutions of the heat equation. II

Charles S. Kahane

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 1, page 39-44
  • ISSN: 0011-4642

Abstract

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The author obtains an estimate for the spatial gradient of solutions of the heat equation, subject to a homogeneous Neumann boundary condition, in terms of the gradient of the initial data. The proof is accomplished via the maximum principle; the main assumption is that the sufficiently smooth boundary be convex.

How to cite

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Kahane, Charles S.. "A gradient estimate for solutions of the heat equation. II." Czechoslovak Mathematical Journal 51.1 (2001): 39-44. <http://eudml.org/doc/30612>.

@article{Kahane2001,
abstract = {The author obtains an estimate for the spatial gradient of solutions of the heat equation, subject to a homogeneous Neumann boundary condition, in terms of the gradient of the initial data. The proof is accomplished via the maximum principle; the main assumption is that the sufficiently smooth boundary be convex.},
author = {Kahane, Charles S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {gradient estimate; heat equation; maximum principle; gradient estimate; heat equation; maximum principle},
language = {eng},
number = {1},
pages = {39-44},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A gradient estimate for solutions of the heat equation. II},
url = {http://eudml.org/doc/30612},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Kahane, Charles S.
TI - A gradient estimate for solutions of the heat equation. II
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 39
EP - 44
AB - The author obtains an estimate for the spatial gradient of solutions of the heat equation, subject to a homogeneous Neumann boundary condition, in terms of the gradient of the initial data. The proof is accomplished via the maximum principle; the main assumption is that the sufficiently smooth boundary be convex.
LA - eng
KW - gradient estimate; heat equation; maximum principle; gradient estimate; heat equation; maximum principle
UR - http://eudml.org/doc/30612
ER -

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