Gradient estimates for inverse curvature flows in hyperbolic space [PDF]
, 2014 We prove gradient estimates for hypersurfaces in the hyperbolic space $\mathbb{H}^{n+1},$ expanding by negative powers of a certain class of homogeneous curvature functions.
Scheuer, Julian
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Singularity Analysis and Integrability of a Burgers-Type System of Foursov [PDF]
, 2011 We apply the Painleve test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting local generalized symmetries ...
Sakovich, Sergei
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The fractional Keller-Segel model [PDF]
, 2006 The Keller-Segel model is a system of partial differential equations modelling chemotactic aggregation in cellular systems. This model has blowing up solutions for large enough initial conditions in dimensions d >= 2, but all the solutions are regular in
Brenner M P +9 more
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Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]
, 2007 2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
Alfredo Lopez-Mimbela, Jose +1 more
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Existence, uniqueness and decay rates for evolution equations on trees [PDF]
, 2014 We study evolution equations governed by an averaging operator on a directed tree, showing existence and uniqueness of solutions. In addition we find conditions of the initial condition that allows us to find the asymptotic decay rate of the solutions as
del Pezzo, Leandro Martin +2 more
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Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients [PDF]
, 2011 2000 Mathematics Subject Classification: 35K55, 35K60.We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients.
Marras, M.
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The Tychonoff uniqueness theorem for the G-heat equation
, 2011 In this paper, we obtain the Tychonoff uniqueness theorem for the G-heat ...
A. N. Tychonoff +13 more
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Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data
, 2015 A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given.
Biler, Piotr, Zienkiewicz, Jacek
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A new contraction family for porous medium and fast diffusion equation [PDF]
, 2014 In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations.
Chmaycem, Ghada +2 more
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Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem
, 2006 We study a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of the mechanics of a continuous medium.
A. Bensoussan +13 more
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