On Coercive Solvability of Parabolic Equations with Variable Operators
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DOI: 10.1007/s10958-019-04321-x
Abstract: AbstractIn a Banach space E, the Cauchy problem υ′t+Atυt=ft0≤t≤1,υ0=υ0,$$ \upsilon^{\prime }(t)+A(t)\upsilon (t)=f(t)\kern1em \left(0\le t\le 1\right),\kern1em \upsilon (0)={\upsilon}_0, $$ is considered for a differential equation with linear strongly positive operator A(t) such that its domain D… read more here.
Keywords: variable operators; coercive solvability; equations variable; solvability ... See more keywords
Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions
Sign Up to like & getrecommendations! Published in 2021 at "Differential Equations"
DOI: 10.1134/s0012266121080097
Abstract: We study a system of first-order partial differential equations with generalized functions as coefficients that describes the heat and mass transfer process in domains with thin inclusions. It is proved that the operator of the… read more here.
Keywords: generalized solvability; parabolic model; thin inclusions; domains thin ... See more keywords