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

Existence of weak solutions to a convection– diffusion equation in amalgam spaces

Journal of the Egyptian Mathematical Society
Volume 30, Issue 1, 2022, Pages 1-19    PDF (3.27 M)
Document Type: Original Article
DOI: 10.1186/s42787-022-00156-9
Author
Buddhadeo Mahato
Department of Mathematics, University College of Engineering & Technology, Hazaribag, India
Abstract
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)
Keywords
Convection–diffusion equations; Amalgam spaces; Weak solution; Uniqueness
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