Global weak solutions to a nonlinear equation with fourth order nonlinearities

Boundary Value Problems

Research

Jiangang Tang¹  Miao Liu²  Shaoyong Lai³ 

[1] Institute of Applied Mathematics, Yili Normal University, 835000, Yining, China;The School of Math. and Statistics, Yili Normal Uiversity, 835000, Yining, China;The School of Mathematics, Southwestern University of Finance and Economics, Wenjiang, 611130, Chengdu, China;

关键词: Global weak solutions;    Nonlinearities;    Viscous approximation technique;    35G25;    35L05;   

DOI  :  10.1186/s13661-023-01700-x

 received in 2022-09-04, accepted in 2023-02-05,  发布年份 2023

来源: Springer

【 摘 要 】

Global weak solution for a nonlinear model with forth order nonlinearities and conserved quantities is considered. Assuming its initial value satisfies certain assumptions that are weaker than the sign condition, we derive a higher integrability estimate and an upper bound estimate about the space derivatives of its solutions and then prove that the equation has global weak solutions.

【 授权许可】

CC BY   
© The Author(s) 2023

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