Existence and Uniqueness of Weak Solutions to the $p$-Biharmonic Parabolic Equation
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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.
Jinyong Guo. (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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