Weak Solutions for a Fourth Order Degenerate Parabolic Equation

Changchun Liu; Jinyong Guo

Bulletin of the Polish Academy of Sciences. Mathematics (2006)

  • Volume: 54, Issue: 1, page 27-39
  • ISSN: 0239-7269

Abstract

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We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.

How to cite

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Changchun Liu, and Jinyong Guo. "Weak Solutions for a Fourth Order Degenerate Parabolic Equation." Bulletin of the Polish Academy of Sciences. Mathematics 54.1 (2006): 27-39. <http://eudml.org/doc/280909>.

@article{ChangchunLiu2006,
abstract = {We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.},
author = {Changchun Liu, Jinyong Guo},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {fourth order parabolic equation; existence; asymptotic behavior; discrete-time method; finite speed of propagation},
language = {eng},
number = {1},
pages = {27-39},
title = {Weak Solutions for a Fourth Order Degenerate Parabolic Equation},
url = {http://eudml.org/doc/280909},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Changchun Liu
AU - Jinyong Guo
TI - Weak Solutions for a Fourth Order Degenerate Parabolic Equation
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 1
SP - 27
EP - 39
AB - We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.
LA - eng
KW - fourth order parabolic equation; existence; asymptotic behavior; discrete-time method; finite speed of propagation
UR - http://eudml.org/doc/280909
ER -

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