Results 11 to 20 of about 440 (53)
Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds [PDF]
, 2010 By constructing a coupling with unbounded time-dependent drift, dimension-free Harnack inequalities are established for a large class of stochastic differential equations with multiplicative noise.
Wang, Feng-Yu
core +1 more source
Fractional parabolic problems with a nonlocal initial condition
Moroccan Journal of Pure and Applied Analysis, 2017 In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B. +2 more
doaj +1 more source
Nonlinear commutators for the fractional p-Laplacian and applications [PDF]
, 2015 We prove a nonlocal, nonlinear commutator estimate concerning the transfer of derivatives onto testfunctions. For the fractional $p$-Laplace operator it implies that solutions to certain degenerate nonlocal equations are higher differentiable. Also, weak
Schikorra, Armin
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Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result [PDF]
, 2009 We study two equations of Lotka-Volterra type that describe the Darwinian evolution of a population density. In the first model a Laplace term represents the mutations. In the second one we model the mutations by an integral kernel. In both cases, we use
Barles, Guy +2 more
core +7 more sources
The Brezis–Nirenberg problem for nonlocal systems
Advances in Nonlinear Analysis, 2016 By means of variational methods we investigate existence, nonexistence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and ...
Faria Luiz F. O. +4 more
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Nonlocal elliptic equations in bounded domains: a survey [PDF]
, 2015 In this paper we survey some results on the Dirichlet problem \[\left\{ \begin{array}{rcll} L u &=&f&\textrm{in }\Omega \\ u&=&g&\textrm{in }\mathbb R^n\backslash\Omega \end{array}\right.\] for nonlocal operators of the form \[Lu(x)=\textrm{PV}\int_ ...
Ros-Oton, Xavier
core +4 more sources
Constructions of free commutative integro-differential algebras [PDF]
, 2014 In this survey, we outline two recent constructions of free commutative integro-differential algebras. They are based on the construction of free commutative Rota-Baxter algebras by mixable shuffles. The first is by evaluations.
A. Connes +32 more
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Integro-differential systems with variable exponents of nonlinearity
Open Mathematics, 2017 Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
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Global Heat Kernel Estimates for Fractional Laplacians in Unbounded Open Sets [PDF]
, 2009 In this paper, we derive global sharp heat kernel estimates for symmetric alpha-stable processes (or equivalently, for the fractional Laplacian with zero exterior condition) in two classes of unbounded C^{1,1} open sets in R^d: half-space-like open sets ...
Chen, Zhen-Qing, Tokle, Joshua
core +3 more sources
Advances in Nonlinear Analysis, 2019 This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent.
Xiang Mingqi +2 more
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