Comparison principle for a nonlinear parabolic problem of a nonmonotone type
Applicationes Mathematicae (2002)
- Volume: 29, Issue: 1, page 65-73
- ISSN: 1233-7234
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topTomas Vejchodský. "Comparison principle for a nonlinear parabolic problem of a nonmonotone type." Applicationes Mathematicae 29.1 (2002): 65-73. <http://eudml.org/doc/279400>.
@article{TomasVejchodský2002,
abstract = {A nonlinear parabolic problem with the Newton boundary conditions and its weak formulation are examined. The problem describes nonstationary heat conduction in inhomogeneous and anisotropic media. We prove a comparison principle which guarantees that for greater data we obtain, in general, greater weak solutions. A new strategy of proving the comparison principle is presented.},
author = {Tomas Vejchodský},
journal = {Applicationes Mathematicae},
keywords = {evolution heat conduction problem; Newton boundary conditions},
language = {eng},
number = {1},
pages = {65-73},
title = {Comparison principle for a nonlinear parabolic problem of a nonmonotone type},
url = {http://eudml.org/doc/279400},
volume = {29},
year = {2002},
}
TY - JOUR
AU - Tomas Vejchodský
TI - Comparison principle for a nonlinear parabolic problem of a nonmonotone type
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 1
SP - 65
EP - 73
AB - A nonlinear parabolic problem with the Newton boundary conditions and its weak formulation are examined. The problem describes nonstationary heat conduction in inhomogeneous and anisotropic media. We prove a comparison principle which guarantees that for greater data we obtain, in general, greater weak solutions. A new strategy of proving the comparison principle is presented.
LA - eng
KW - evolution heat conduction problem; Newton boundary conditions
UR - http://eudml.org/doc/279400
ER -
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