Results 81 to 90 of about 976 (113)
Sharp Harnack inequalities for a family of hypoelliptic diffusions [PDF]
arXiv, 2015 We prove sharp Harnack inequalities for a family of Kolmogorov-Fokker-Planck type hypoelliptic diffusions.
arxiv
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
On a nonlinear compactness lemma in L^p(0,T;B) [PDF]
arXiv, 2001 We consider a nonlinear counterpart of a compactness lemma of J. Simon, which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. Our work was motivated by previous results J. Simon, recently sharpened by H. Amann, in the linear setting, and by a nonlinear compactness argument of H.W. Alt and S. Luckhaus.
arxiv
Critical heat kernel estimates via Hardy-Sobolev inequalities [PDF]
arXiv, 2003 We obtain Sobolev inequalities for the Schrodinger operator -\Delta-V, where V has critical behaviour V(x)=((N-2)/2)^2|x|^{-2} near the origin. We apply these inequalities to obtain pointwise estimates on the associated heat kernel, improving upon earlier results.
arxiv
Existence of solutions to a diffusive shallow medium equation. [PDF]
J Evol Equ, 2021 Bögelein V, Dietrich N, Vestberg M.
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A boundary point lemma for Black-Scholes type operators [PDF]
Comm. Pure Appl. Anal. 5 (2006), 505-514, 2005 We prove a sharp version of the Hopf boundary point lemma for Black-Scholes type equations. We also investigate the existence and the regularity of the spatial derivative of the solutions at the spatial boundary.
arxiv
A non-stationary model for catalytic converters with cylindrical geometry [PDF]
Proceedings of the Fourth European Conference on Elliptic and
Parabolic Problems - Rolduc and Gaeta 2001, pp. 424-433, World Scientific,
2002, 2006 We prove some existence and uniqueness results and some qualitative properties for the solution of a system modelling the catalytic conversion in a cylinder. This model couples parabolic partial differential equations posed in a cylindrical domain and on its boundary.
arxiv
Blow-up for an evolution
Boundary Value Problems, 2011 This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Liu Dengming +3 more
doaj
A vanishing dynamic capillarity limit equation with discontinuous flux. [PDF]
Z Angew Math Phys, 2020 Graf M +3 more
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