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Existence and Uniqueness of Weak Solutions to the p-biharmonic Parabolic Equation

Existence and Uniqueness of Weak Solutions to the p-biharmonic Parabolic Equation
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摘要 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. 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.
出处 《Communications in Mathematical Research》 CSCD 2013年第3期261-270,共10页 数学研究通讯(英文版)
关键词 p-biharmonic parabolic equation weak solution existence UNIQUENESS p-biharmonic, parabolic equation, weak solution, existence, uniqueness
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