A boundary value problem for the fourth-order degenerate equation of the mixed type
Қарағанды университетінің хабаршысы. Математика сериясыMany problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
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Decay of periodic entropy solutions to degenerate nonlinear parabolic equations [PDF]
arXiv, 2019 Under a precise nonlinearity-diffusivity condition we establish the decay of space-periodic entropy solutions of a multidimensional degenerate nonlinear parabolic equation.
arxiv
Approximate general solution of degenerate parabolic equations related to population genetics
Electronic Journal of Differential Equations, 1995 degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
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Karpatsʹkì Matematičnì Publìkacìï, 2014 The paper found the explicit form of the fundamental solution of Cauchy problem for the equation of Kolmogorov type that has a finite number groups of spatial variables which are degenerate parabolic.
H.P. Malytska, I.V. Burtnyak
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Regularity Results for a class of Semilinear Parabolic Degenerate Equations and Applications [PDF]
Quaderno-IAC (2001), 2001 We consider a possibly strongly degenerate parabolic semilinear problem which can be applied to a differential model for pricing financial derivatives. We prove the asked regularity for applying the Ito's formula which is used for building the differential model.
arxiv
Studying behavior of the asymptotic solutions to P-Laplacian type diffusion-convection model [PDF]
مجلة جامعة الانبار للعلوم الصرفةThe rescaling method is presented to allow us to establish nonnegative local solutions to the evolution of the Cauchy problem (CP) of the nonlinear degenerate parabolic p-Laplacian process with conservation laws that are posed in one-dimensional space ...
Habeeb Aal-Rkhais, Ruba Qasim
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Well-posedness for a family of degenerate parabolic mixed equations [PDF]
arXiv, 2020 The aim of this work is to show an abstract framework to analyze a family of linear degenerate parabolic mixed equations. We combine the theory for the degenerate parabolic equations with the classical Babuska-Brezzi theory for linear mixed stationary equations to deduce sufficient conditions to prove the well-posedness of the problem.
arxiv
On the behavior of the solutions of degenerate parabolic equations [PDF]
Nagoya Mathematical Journal, 1999 AbstractIn this paper we consider degenerate parabolic equations, and obtain an interior and a boundary Harnack inequalities for nonnegative solutions to the degenerate parabolic equations. Furthermore we obtain boundedness and continuity of the solutions.
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Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions
ITM Web of Conferences, 2018 In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of viscosity solutions for elliptic and parabolic equations.
Duc Nguyen Vinh
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Boundary-value problems with non-local condition for degenerate parabolic equations [PDF]
Contemporary Analysis and Applied Mathematics Vol.1, No.1, 42-48,
2013, 2013 In this work we deal with degenerate parabolic equations with three lines of degeneration. Using "a-b-c" method we prove the uniqueness theorems defining conditions to parameters. We show nontrivial solutions for considered problems, when uniqueness conditions to parameters, participating in the equations are not fulfilled.
arxiv