The existence of strong solution for a class of fully nonlinear equation |
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| Authors: | Ruili Wu |
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| Institution: | Department of Mathematics, Sichuan University, Chengdu, 610064 Sichuan, China |
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| Abstract: | This article mainly investigates the existence of global strong solution of a class of fully nonlinear evolution equation and the strong solution of its steady-state equation. By using the T-compulsorily weakly continuous operator theory, the existence of the global strong solution of the fully nonlinear evolution equation is obtained. In addition, based on the acute angle principle, the W2,p-strong solution for the corresponding stationary equation is also derived. |
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| Keywords: | acute angle principle fully nonlinear equation strong solution T-compulsorily weakly continuous operator theory |
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