Results 31 to 40 of about 1,564,798 (354)
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods [PDF]
Archive for Rational Mechanics and Analysis, 2021 This paper is concerned with a quantitative analysis of asymptotic behaviors of (possibly sign-changing) solutions to the Cauchy–Dirichlet problem for the fast diffusion equation posed on bounded domains with Sobolev subcritical exponents. More precisely,
G. Akagi
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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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Viscosity methods giving uniqueness for martingale problems [PDF]
, 2015 Let $E$ be a complete, separable metric space and $A$ be an operator on $C_b(E)$. We give an abstract definition of viscosity sub/supersolution of the resolvent equation $\lambda u-Au=h$ and show that, if the comparison principle holds, then the ...
Costantini, Cristina, Kurtz, Thomas G.
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Bulletin of Mathematical Sciences, 2023 A no-flux initial-boundary value problem for the cross-diffusion system ut = Δ(uϕ(v)),vt = Δv − uv is considered in smoothly bounded domains [Formula: see text] with [Formula: see text].
Michael Winkler
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The discontinuous Galerkin method for fractional degenerate convection-diffusion equations [PDF]
, 2011 We propose and study discontinuous Galerkin methods for strongly degenerate convection-diffusion equations perturbed by a fractional diffusion (L\'evy) operator. We prove various stability estimates along with convergence results toward properly defined (
A. Dedner +30 more
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Stability of Densities for Perturbed Degenerate Diffusions [PDF]
Theory of Probability & Its Applications, 2017 We study the sensitivity of the densities of some Kolmogorov like degenerate diffusion processes with respect to a perturbation of the coefficients of the non-degenerate component. Under suitable (quite sharp) assumptions we quantify how the pertubation of the SDE affects the density.
openaire +3 more sources
Time Adaptive Numerical Solution of a Highly Degenerate Diffusion–Reaction Biofilm Model Based on Regularisation [PDF]
Journal of Scientific Computing, 2017 We consider a quasilinear degenerate diffusion–reaction system that describes biofilm formation. The model exhibits two non-linear effects: a power law degeneracy as one of the dependent variables vanishes and a super diffusion singularity as it ...
M. Ghasemi, H. Eberl
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Derivative Formula and Applications for Degenerate Diffusion Semigroups [PDF]
, 2012 By using the Malliavin calculus and solving a control problem, Bismut type derivative formulae are established for a class of degenerate diffusion semigroups with non-linear drifts.
Wang, Feng-Yu, Zhang, Xi-Cheng
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Weak Poincaré inequalities for convergence rate of degenerate diffusion processes [PDF]
Annals of Probability, 2017 For a contraction $C_0$-semigroup on a separable Hilbert space, the decay rate is estimated by using the weak Poincar\'e inequalities for the symmetric and anti-symmetric part of the generator.
M. Grothaus, Feng-Yu Wang
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On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions [PDF]
, 2015 We analyze upwind difference methods for strongly degenerate convection-diffusion equations in several spatial dimensions. We prove that the local $L^1$-error between the exact and numerical solutions is $\mathcal{O}(\Delta x^{2/(19+d)})$, where $d$ is ...
Karlsen, Kenneth Hvistendahl +2 more
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