Results 31 to 40 of about 118,579 (376)
Discontinuous “viscosity” solutions of a degenerate parabolic equation [PDF]
Transactions of the American Mathematical Society, 1990 We study a nonlinear degenerate parabolic equation of the second order. Regularizing the equation by adding some artificial viscosity, we construct a generalized solution. We show that this solution is not necessarily continuous at all points.
BERTSCH, MICHIEL, Dal Passo R, Ughi, M.
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WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
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Determination of the right-hand side term in the degenerate parabolic equation with two variables
Journal of Physics: Conference Series, 2019 We find two type conditions sufficient for unique solvability of inverse problem of source determination in degenerate parabolic equation with two independent variables.
V. Kamynin, A. Kostin
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A new kind of the solution of degenerate parabolic equation with unbounded convection term
Open Mathematics, 2015 A new kind of entropy solution of Cauchy problem of the strong degenerate parabolic ...
Huashui Zhan
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, 2020 In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semilinear degenerate reaction-diffusion equation in divergence form governed ...
Floridia, Giuseppe +2 more
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Liouville properties and critical value of fully nonlinear elliptic operators [PDF]
, 2016 We prove some Liouville properties for sub- and supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate
Bardi, Martino, Cesaroni, Annalisa
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Hölder gradient estimates for a class of singular or degenerate parabolic equations
Advances in Nonlinear Analysis, 2017 We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril +2 more
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Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation
Discrete Dynamics in Nature and Society, 2020 This paper is devoted to a nonautonomous retarded degenerate parabolic equation. We first show the existence and uniqueness of a weak solution for the equation by using the standard Galerkin method.
Fahe Miao, Hui Liu, Jie Xin
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Riesz potentials and nonlinear parabolic equations [PDF]
, 2013 The spatial gradient of solutions to nonlinear degenerate parabolic equations can be pointwise estimated by the caloric Riesz potential of the right hand side datum, exactly as in the case of the heat equation.
A. Cianchi +31 more
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Stability for degenerate parabolic equations [PDF]
Advances in Calculus of Variations, 2010 The authors study the stability of the solutions of the evolutionary \(p\)-Laplace equation \[ {\partial u\over\partial t}= \nabla\cdot(|\nabla u|^{p-2}\nabla u) \] under variations of the parameter \(p\). The problem is delicate, since the underlying Sobolev space varieties with \(p\). The boundary values are given on the parabolic boundary of a space-
Parviainen, Mikko, Kinnunen, Juha
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