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 - <p style="text-align: justify;">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.</p>