The existence of strong solution for a class of fully nonlinear equation | Zendy

Wu Ruili | Zendy

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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.

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