Journal of the Egyptian Mathematical Society | |
Existence of weak solutions to a convection–diffusion equation in amalgam spaces | |
Original Research | |
Md. Rabiul Haque1  | |
[1]Department of Mathematics, University of Rajshahi, 6205, Rajshahi, Bangladesh | |
关键词: Convection–diffusion equations; Amalgam spaces; Weak solution; Uniqueness; 35A01; 35K55; 35D30; | |
DOI : 10.1186/s42787-022-00156-9 | |
received in 2021-05-24, accepted in 2022-11-29, 发布年份 2022 | |
来源: Springer | |
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【 摘 要 】
We consider the local existence and uniqueness of a weak solution for a convection–diffusion equation in amalgam spaces. We establish the local existence and uniqueness of solution for the initial condition in amalgam spaces. Furthermore, we prove the validity of the Fujita–Weissler critical exponent for local existence and uniqueness of solution in the amalgam function class that is identified by Escobedo and Zuazua (J Funct Anal 100:119–161, 1991).【 授权许可】
CC BY
© The Author(s) 2022
【 预 览 】
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