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On unique ergodicity for degenerate diffusions
Stochastics, 1987We investigate the invariant probabilities of a possible degenerate diffusion process on a manifold. Using the support theorems of stroock, Varadhan and Kunita, the possible candidates for supports of invariant probabilities can be characterized as the invariant control sets of the corresponding control system.
Ludwig Arnold, Wolfgang Kliemann
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Existence for Diffusion Degenerate Problems
2012In this chapter we present another method for studying the well-posedness of a multivalued degenerate fast diffusion equation by proposing an appropriate time discretization scheme. We consider that the degeneration of the equation is due to the vanishing of the diffusion coefficient and choose for this problem Robin boundary conditions which contain ...
Angelo Favini, Gabriela Marinoschi
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Semismooth Potentials of Stochastic Systems With Degenerate Diffusions
IEEE Transactions on Automatic Control, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Degenerate Diffusions with regular Hamiltonians
AIP Conference Proceedings, 2005We consider the asymptotic behaviour for small time and small parameter of the heat kernel on the cotangent bundle of a Riemannian manifold defined by a stochastically perturbed geodesic flow generalizing WKB‐type methods to a diffusion corresponding to a particular regular degenerate Hamiltonian.
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Degenerate Nonlinear Diffusion Equations
2012The aim of this notes is to include in a unitary presentation some topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued maximal monotone operators in Hilbert spaces.
FAVINI, ANGELO, G. Marinoschi
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Remarks on a controlled degenerate diffusion process
European Journal of ControlzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Delayed Diffusion Restriction of Wallerian Degeneration
Neurocritical Care, 2023Daniel J. Zhou +2 more
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The Swelling of Mitochondria: Degenerate Diffusion
2018This chapter consists of two subsections, and we consider the effect of degenerate diffusion on mitochondria swelling behavior. In Sect. 6.1 we study the well posedness of solutions under homogeneous Dirichlet boundary conditions. Note that we cannot apply the methods developed in the previous chapters for nondegenerate diffusion and new methods have ...
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Doubly degenerate diffuse interface models of anisotropic surface diffusion
Mathematical Methods in the Applied Sciences, 2021Maximilian Selch +2 more
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