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The existence of strong solution for a class of fully nonlinear equation
Author(s) -
Wu Ruili
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5957
Subject(s) - mathematics , nonlinear system , evolution equation , operator (biology) , class (philosophy) , mathematical analysis , physics , quantum mechanics , artificial intelligence , computer science , biochemistry , chemistry , repressor , transcription factor , gene
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 W 2, p ‐strong solution for the corresponding stationary equation is also derived.