Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients

The mixed boundary-value problem is considered for linear second-order nondivergent parabolic equations with discontinuous coefficients satisfying the Cordes conditions. The one-valued strong (almost everywhere) solvability of this problem is proved in the space Ŵ p 2,1 , where p belongs to the same...

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Bibliographic Details
Published inUkrainian mathematical journal Vol. 66; no. 11; pp. 1615 - 1638
Main Authors Guliyev, A. F., Ismayilova, S. H.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.04.2015
Springer
Subjects
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Nonlinear Parabolic Equation
Elliptic Equation
Quasilinear Parabolic Equation
Parabolic Equation
Discontinuous Coefficient
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Summary:The mixed boundary-value problem is considered for linear second-order nondivergent parabolic equations with discontinuous coefficients satisfying the Cordes conditions. The one-valued strong (almost everywhere) solvability of this problem is proved in the space Ŵ p 2,1 , where p belongs to the same segment containing point 2.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-015-1040-1