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)
Mahato, B. (2022). Existence of weak solutions to a convection– diffusion equation in amalgam spaces. Journal of the Egyptian Mathematical Society, 30(1), 1-19. doi: 10.1186/s42787-022-00156-9
MLA
Buddhadeo Mahato. "Existence of weak solutions to a convection– diffusion equation in amalgam spaces", Journal of the Egyptian Mathematical Society, 30, 1, 2022, 1-19. doi: 10.1186/s42787-022-00156-9
HARVARD
Mahato, B. (2022). 'Existence of weak solutions to a convection– diffusion equation in amalgam spaces', Journal of the Egyptian Mathematical Society, 30(1), pp. 1-19. doi: 10.1186/s42787-022-00156-9
VANCOUVER
Mahato, B. Existence of weak solutions to a convection– diffusion equation in amalgam spaces. Journal of the Egyptian Mathematical Society, 2022; 30(1): 1-19. doi: 10.1186/s42787-022-00156-9
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