Results 31 to 40 of about 1,145 (69)
The global solution of a diffusion equation with nonlinear gradient term
Journal of Inequalities and Applications, 2013 Consider the viscosity solution to the initial boundary value problem of the diffusion equation ut=div(|∇um|p−2∇um)−uq1m|∇um|p1, with p>1, m>0, p1≤2, p>2p1, its initial value u(x,0)=u0(x)∈Lq−1+1m(Ω), 3>q>1 and its boundary ...
Huashui Zhan
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Extinction properties of solutions for a fast diffusion equation with nonlocal source
, 2013 In this paper, we investigate extinction properties of nonnegative nontrivial solutions for an initial boundary value problem of a fast diffusion equation with a nonlocal source in bounded domain.
Z. Fang, Mei Wang
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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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Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays
, 2015 In this paper, we consider functionals based on moments and non-linear entropies which have a linear growth in time in case of source-type so-lutions to the fast diffusion or porous medium equations, that are also known as Barenblatt solutions.
Dolbeault, Jean, Toscani, Giuseppe
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An anisotropic quasilinear problem with perturbations
Boundary Value Problems, 2013 This work focuses on proving the existence and uniqueness of strong solutions of perturbed anisotropic total variation flow with the Neumann boundary condition when the initial data is an L2(Ω) function. MSC:35K65, 35K55.
J. Rui, Jianguo Si
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A waiting time phenomenon for thin film equations [PDF]
, 2001 We prove the occurrence of a waiting time phenomenon for solutions to fourth order degenerate parabolic differential equations which model the evolution of thin films of viscous fluids.
G. GRUEN +2 more
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Diffraction problems for quasilinear parabolic systems with boundary intersecting interfaces
Boundary Value Problems, 2013 In this paper, we discuss the n-dimensional diffraction problem for weakly coupled quasilinear parabolic system on a bounded domain Ω, where the interfaces Γk (k=1,…,K−1) are allowed to intersect with the outer boundary ∂ Ω and the coefficients of the ...
Qi-Jian Tan, C. Pan
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Boundary conditions for the single-factor term structure equation
, 2011 We study the term structure equation for single-factor models that predict nonnegative short rates. In particular, we show that the price of a bond or a bond option is the unique classical solution to a parabolic differential equation with a certain ...
Ekström, Erik, Tysk, Johan
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Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces
, 2016 The nonnegative solution for a linear degenerate diffusion transport eqution is proved. As a result, we show the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces $H^\alpha$ with nonnegative initial data,
Xiao, Weiliang, Zhou, Xuhuan
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Wiener-Landis criterion for Kolmogorov-type operators
, 2017 We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichlet problem related to a class of Kolmogorov-type equations. Our criterion is inspired by two classical criteria for the heat equation: the Evans-Gariepy's
Kogoj, A. E., Lanconelli, E., Tralli, G.
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