@Article{CMR-29-3, author = {Jinyong, Guo}, title = {Existence and Uniqueness of Weak Solutions to the $p$-Biharmonic Parabolic Equation}, journal = {Communications in Mathematical Research }, year = {2013}, 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/2013-CMR-19011}, url = {https://global-sci.com/article/81800/existence-and-uniqueness-of-weak-solutions-to-the-p-biharmonic-parabolic-equation} }