Results 31 to 40 of about 426 (56)

Large Deviations estimates for some non-local equations I. Fast decaying kernels and explicit bounds [PDF]

, 2008
We study large deviations for some non-local parabolic type equations. We show that, under some assumptions on the non-local term, problems defined in a bounded domain converge with an exponential rate to the solution of the problem defined in the whole ...
Brändle, Cristina, Chasseigne, Emmanuel
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Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions

, 2015
The operator of double differentiation on a finite interval with Robin boundary conditions perturbed by the composition of a Volterra convolution operator and the differentiation one is considered.
Buterin, S. A., Rivero, A. E. Choque
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Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations [PDF]

, 2012
We consider an initial-boundary value problem for $\partial_tu-\partial_t^{-\alpha}\nabla^2u=f(t)$, that is, for a fractional diffusion ...
Eriksson K., Kassem Mustapha, William McLean   +2 more
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Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems

Advanced Nonlinear Studies
The purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
doaj   +1 more source

p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities

Advances in Nonlinear Analysis, 2018
This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–Kirchhoff systems driven by the fractional p-Laplacian operator.
Fiscella Alessio, Pucci Patrizia, Zhang Binlin   +2 more
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Boundary regularity, Pohozaev identities, and nonexistence results

, 2017
In this expository paper we survey some recent results on Dirichlet problems of the form $Lu=f(x,u)$ in $\Omega$, $u\equiv0$ in $\mathbb R^n\backslash\Omega$. We first discuss in detail the boundary regularity of solutions, stating the main known results
Ros-Oton, Xavier
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A note on global regularity for the weak solutions of fractional p-Laplacian equations

, 2015
We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove H\"older regularity up to the boundary for the weak solutions, both in the singular (12) case.Comment:
Iannizzotto, Antonio, Mosconi, Sunra, Squassina, Marco   +2 more
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Local behavior of fractional $p$-minimizers

, 2015
We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators.Comment: 26 pages. To appear in Ann. Inst. H. Poincare Anal. Non Lineaire.
Di Castro, Agnese, Kuusi, Tuomo, Palatucci, Giampiero   +2 more
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On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity

Demonstratio Mathematica
In this article, we deal with the following pp-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M([u]s,Ap)(−Δ)p,Asu+V(x)∣u∣p−2u=λ∫RN∣u∣pμ,s*∣x−y∣μdy∣u∣pμ,s*−2u+k∣u∣q−2u,x∈RN,M({\left[u]}
Zhao Min, Song Yueqiang, Repovš Dušan D.   +2 more
doaj   +1 more source

Perturbations of Functional Inequalities for L\'evy Type Dirichlet Forms [PDF]

, 2015
Perturbations of super Poincar\'e and weak Poincar\'e inequalities for L\'evy type Dirichlet forms are studied. When the range of jumps is finite our results are natural extensions to the corresponding ones derived earlier for diffusion processes; and we
Chen, Xin, Wang, Feng-Yu, Wang, Jian
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