# A gradient estimate for solutions of the heat equation. II

Czechoslovak Mathematical Journal (2001)

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

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topKahane, 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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