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Volume 29, Issue 3
Existence and Uniqueness of Weak Solutions to the $p$-Biharmonic Parabolic Equation

Jinyong Guo

Commun. Math. Res., 29 (2013), pp. 261-270.

Published online: 2021-05

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  • Abstract

We consider an initial-boundary value problem for a $p$-biharmonic parabolic equation. Under some assumptions on the initial value, we construct approximate solutions by the discrete-time method. By means of uniform estimates on solutions of the time-difference equations, we establish the existence of weak solutions, and also discuss the uniqueness.

  • Keywords

$p$-biharmonic, parabolic equation, weak solution, existence, uniqueness.

  • AMS Subject Headings

35D05, 35G30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-261, author = {Guo , Jinyong}, title = {Existence and Uniqueness of Weak Solutions to the $p$-Biharmonic Parabolic Equation}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {3}, pages = {261--270}, abstract = {

We consider an initial-boundary value problem for a $p$-biharmonic parabolic equation. Under some assumptions on the initial value, we construct approximate solutions by the discrete-time method. By means of uniform estimates on solutions of the time-difference equations, we establish the existence of weak solutions, and also discuss the uniqueness.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19011.html} }
TY - JOUR T1 - Existence and Uniqueness of Weak Solutions to the $p$-Biharmonic Parabolic Equation AU - Guo , Jinyong JO - Communications in Mathematical Research VL - 3 SP - 261 EP - 270 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19011.html KW - $p$-biharmonic, parabolic equation, weak solution, existence, uniqueness. AB -

We consider an initial-boundary value problem for a $p$-biharmonic parabolic equation. Under some assumptions on the initial value, we construct approximate solutions by the discrete-time method. By means of uniform estimates on solutions of the time-difference equations, we establish the existence of weak solutions, and also discuss the uniqueness.

Guo , Jinyong. (2021). Existence and Uniqueness of Weak Solutions to the $p$-Biharmonic Parabolic Equation. Communications in Mathematical Research . 29 (3). 261-270. doi:
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