Large time behavior for some nonlinear degenerate parabolic equations
, 2013 We study the asymptotic behavior of Lipschitz continuous solutions of nonlinear degenerate parabolic equations in the periodic setting. Our results apply to a large class of Hamilton-Jacobi-Bellman equations.
Ley, Olivier, Nguyen, Vinh Duc
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Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates [PDF]
, 2015 We consider non smooth general degenerate/singular parabolic equations in non divergence form with degeneracy and singularity occurring in the interior of the spatial domain, in presence of Dirichlet or Neumann boundary conditions.
Alabau-Boussouira +30 more
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On the convergence of a class of degenerate parabolic equations
Journal de Mathématiques Pures et Appliquées, 1998 Abstract In this paper we study the convergence of the Cauchy-Dirichlet problems for a sequence of parabolic operators P h = ∂ ∂t − div (a h (x,t) · D) , where the matrices of the coefficient ah(x,t) verify the following degenerate elliptic condition: λ h (x)|ζ| 2 ≤ (a h (x,t)⋯ζ,ζ)≤Lλ h (x)|ζ|
PARONETTO, FABIO, F. Serra Cassano
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Optimal Control Problems of a Class of Nonlinear Degenerate Parabolic Equations
MathematicsThe optimal control problems of degenerate parabolic equations have many applications in economics, physics, climatology, and so on. Motivated by the applications, we consider the optimal control problems of a class of nonlinear degenerate parabolic ...
Yang Na +3 more
doaj +1 more source
Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem [PDF]
, 2019 In this paper, we establish two Carleman estimates for a stochastic degenerate parabolic equation. The first one is for the backward stochastic degenerate parabolic equation with singular weight function. Combining this Carleman estimate and an approximate argument, we prove the null controllability of the forward stochastic degenerate parabolic ...
arxiv +1 more source
Singularly perturbed periodic parabolic equations with alternating boundary layer type solutions
Abstract and Applied Analysis, 2006 We consider a class of singularly perturbed parabolic equations for which the degenerate equations obtained by setting the small parameter equal to zero are algebraic equations that have several roots.
Adelaida B. Vasil'eva +1 more
doaj +2 more sources
Igusa-type functions associated to finite formed spaces and their functional equations [PDF]
, 2008 We study symmetries enjoyed by the polynomials enumerating non-degenerate flags in finite vector spaces, equipped with a non-degenerate alternating bilinear, hermitian or quadratic form.
Klopsch, Benjamin, Voll, Christopher
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Dissipation enhancement for a degenerated parabolic equation
Communications in Mathematical Sciences, 2023 22 ...
Feng, Yu, Hu, Bingyang, Xu, Xiaoqian
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A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians [PDF]
, 2015 We investigate large-time asymptotics for viscous Hamilton--Jacobi equations with possibly degenerate diffusion terms. We establish new results on the convergence, which are the first general ones concerning equations which are neither uniformly ...
Barles +24 more
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A strongly degenerate parabolic aggregation equation [PDF]
Communications in Mathematical Sciences, 2011 This paper is concerned with a strongly degenerate convection-diffusion equation in one space dimension whose convective flux involves a non-linear function of the total mass to one side of the given position. This equation can be understood as a model of aggregation of the individuals of a population with the solution representing their local density.
Betancourt, F. +2 more
openaire +5 more sources