Potential Analysis

Title Publication Date Language Citations
Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion Paths2010/05/08English315
The Dirichlet Energy Integral and Variable Exponent Sobolev Spaces with Zero Boundary Values2006/07/25English97
Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles2007/02/06English91
On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion2014/06/15English91
The Fractional Relative Capacity and the Fractional Laplacian with Neumann and Robin Boundary Conditions on Open Sets2014/09/26English79
Orlicz–Morrey Spaces and Fractional Operators2011/06/15English79
Finite Element Methods for Parabolic Stochastic PDE?s2005/08/01English69
Convolution-Type Derivatives, Hitting-Times of Subordinators and Time-Changed C 0-semigroups2014/07/03English63
Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile2008/10/29English62
Young Integrals and SPDEs2006/09/20English58
Chernoff's Theorem and Discrete Time Approximations of Brownian Motion on Manifolds2006/10/24English57
On Harnack Inequality and Hölder Regularity for Isotropic Unimodal Lévy Processes2013/07/10English54
On Discretization Schemes for Stochastic Evolution Equations2005/09/01English54
Necessary and Sufficient Conditions for the Boundedness of the Riesz Potential in Local Morrey-type Spaces2008/12/23English49
Continuity of Solutions of a Class of Fractional Equations2017/11/08English47
Boundary Harnack Principle for p-harmonic Functions in Smooth Euclidean Domains2007/02/07English46
Parabolic Equations with Measurable Coefficients2007/02/20English46
Parabolic Equations and Markov Processes Over p-Adic Fields2007/12/21English46
Approximation of the Invariant Measure with an Euler Scheme for Stochastic PDEs Driven by Space-Time White Noise2013/03/20English44
Higher Differentiability of Solutions of Elliptic Systems with Sobolev Coefficients: The Case p = n = 22014/01/29English43
Heat Kernel Bounds on Metric Measure Spaces and Some Applications2015/12/19English42
Existence and Smoothness of the Density for Spatially Homogeneous SPDEs2007/07/12English42
Multipliers and Morrey Spaces2012/06/17English42
Boundedness of the Riesz Potential in Local Morrey-Type Spaces2010/09/28English41
On the Cauchy Problem for Integro-differential Operators in Hölder Classes and the Uniqueness of the Martingale Problem2013/06/22English41
White Noise Driven SPDEs with Reflection: Strong Feller Properties and Harnack Inequalities2009/11/12English41
On the Stochastic Strichartz Estimates and the Stochastic Nonlinear Schrödinger Equation on a Compact Riemannian Manifold2013/10/19English40
Rate of Convergence of Space Time Approximations for Stochastic Evolution Equations2008/11/21English39
Regularity of Ornstein–Uhlenbeck Processes Driven by a Lévy White Noise2009/09/04English39
Adams’ Inequality and Limiting Sobolev Embeddings into Zygmund Spaces2011/10/29English39