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Volume 22, Issue 4
A Fourth-order Degenerate Parabolic Equation with Variable Exponent

Chao Zhang & Shulin Zhou

DOI: 10.4208/jpde.v22.n4.6

J. Part. Diff. Eq., 22 (2009), pp. 376-392.

Published online: 2009-11

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  • Abstract

In this paper we establish the existence, uniqueness and long-time behavior of weak solutions for the initial-boundary value problem of a fourth-order degenerate parabolic equation with variable exponent of nonlinearity.

  • Keywords

Variable exponents fourth-order existence uniqueness long-time behavior

  • AMS Subject Headings

35D05 35K65 46E35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-22-376, author = {Chao Zhang and Shulin Zhou }, title = {A Fourth-order Degenerate Parabolic Equation with Variable Exponent}, journal = {Journal of Partial Differential Equations}, year = {2009}, volume = {22}, number = {4}, pages = {376--392}, abstract = {

In this paper we establish the existence, uniqueness and long-time behavior of weak solutions for the initial-boundary value problem of a fourth-order degenerate parabolic equation with variable exponent of nonlinearity.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v22.n4.6}, url = {http://global-sci.org/intro/article_detail/jpde/5264.html} }
TY - JOUR T1 - A Fourth-order Degenerate Parabolic Equation with Variable Exponent AU - Chao Zhang & Shulin Zhou JO - Journal of Partial Differential Equations VL - 4 SP - 376 EP - 392 PY - 2009 DA - 2009/11 SN - 22 DO - http://doi.org/10.4208/jpde.v22.n4.6 UR - https://global-sci.org/intro/article_detail/jpde/5264.html KW - Variable exponents KW - fourth-order KW - existence KW - uniqueness KW - long-time behavior AB -

In this paper we establish the existence, uniqueness and long-time behavior of weak solutions for the initial-boundary value problem of a fourth-order degenerate parabolic equation with variable exponent of nonlinearity.

Chao Zhang and Shulin Zhou . (2009). A Fourth-order Degenerate Parabolic Equation with Variable Exponent. Journal of Partial Differential Equations. 22 (4). 376-392. doi:10.4208/jpde.v22.n4.6
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