Mixed problems for degenerate abstract parabolic equations and applications
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Date
2018
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Publisher
SINUS Association
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Abstract
Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed Lebesgue spaces are obtained. Moreover, the existence and uniqueness of optimal regular solution of mixed problem for nonlinear parabolic equation is established. Note that, these problems arise in fluid mechanics and environmental engineering. © 2018, SINUS Association. All rights reserved.
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Keywords
Degenerate P DE, Differential-operator equations, Nonlinear problems, Positive operators in Banach spaces, Semigroups of operators, Separable differential operators
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2
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Q1
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Q1
Source
Carpathian Journal of Mathematics
Volume
34
Issue
2
Start Page
247
End Page
254