On the Unique Solvability of the Boundary-Value Problems for Fredholm Integrodifferential Equations with Degenerate Kernel
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DOI: 10.1007/s10958-016-3194-2
Abstract: We study a linear boundary-value problem for systems of Fredholm integrodifferential equations with degenerate kernels and present the definition of ν-regular partition of the interval. The coefficient necessary and sufficient conditions for the unique solvability… read more here.
Keywords: integrodifferential equations; unique solvability; boundary value; fredholm integrodifferential ... See more keywords
Quasilinear parabolic equations with a degenerate absorption potential
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DOI: 10.1007/s10958-019-04489-2
Abstract: Quasilinear parabolic equations with a degenerate absorption potential are considered. The estimates of all weak solutions of such equations, including large solutions satisfying the blow-up conditions on the parabolic boundary of a domain, are obtained. read more here.
Keywords: quasilinear parabolic; absorption potential; degenerate absorption; parabolic equations ... See more keywords
Existence and regularity results for parabolic equations with degenerate coercivity
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DOI: 10.1080/17476933.2017.1332596
Abstract: Abstract The goal of this paper is to address existence and regularity results for some nonlinear parabolic equations with degenerate coercivity, of the following form where is a bounded domain in with the function f… read more here.
Keywords: regularity results; parabolic equations; degenerate coercivity; equations degenerate ... See more keywords
Existence of strong solutions to the rotating shallow water equations with degenerate viscosities
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DOI: 10.1142/s021953051950012x
Abstract: In this paper, we consider the Cauchy problem of a viscous compressible shallow water equations with the Coriolis force term and non-constant viscosities. More precisely, the viscous coefficients are constants multiple of height, the equations… read more here.
Keywords: strong solutions; existence strong; water equations; equations degenerate ... See more keywords