In this paper, we get an L-p boundedness of Fourier integral operators with rough amplitude a is an element of (LSem)-S-infinity, and phase phi is an ......
By studying parabolic equations in mixed-norm spaces, we prove the existence and uniqueness of strong solutions to stochastic differential equations d......
Motivated by the recent work of Galindo et al. (J. Funct. Anal. 265, 629-643, 2013), in this paper, we give an elegant compactness criterion for any f......
This work provides explicit conditions to establish the dimension-free Harnack inequalities respectively for state-independent and state-dependent reg......
In this paper, we prove a reverse Holder inequality for the eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with th......
In this paper, we give a probabilistic interpretation for solutions to the Neumann boundary problems for a class of semi-linear parabolic partial diff......
期刊： POTENTIAL ANALYSIS, 2020; 52 (4)
For spectrally negative Levy processes, adapting an approach from Li and Palmowski (Stoch. Process. Appl. 128(10), 3273-3299 2018) we identify joint L......
期刊： POTENTIAL ANALYSIS, 2020; 53 (1)
In this paper, we will study the Li-Yau inequalities for weak solutions of the heat equation onRCD*(K,N) metric measure spaces.
期刊： POTENTIAL ANALYSIS, 2020; 53 (1)
The critical and subcritical Trudinger-Moser inequalities in Lorentz Sobolev space have been studied by Cassani and Tarsi (Asymptot. Anal.64(1-2):29-5......
期刊： POTENTIAL ANALYSIS, 2020; 53 (1)
In the seminal work of Symanzik (1969), Poisson ensembles of Brownian loops were implicitly used. Since the work of Lawler and Werner (Prob. Th. Rel. ......
期刊： POTENTIAL ANALYSIS, 2020; 53 (1)
In this paper, we establish the Freidlin-Wentzell's large deviations for quasilinear parabolic stochastic partial differential equations with multipli......
期刊： POTENTIAL ANALYSIS, 2020; 53 (1)
Let Z be a subordinate Brownian motion in Double-struck capital R-d,d >= 2, via a subordinator with Laplace exponent phi. We kill the processZupon ......
期刊： POTENTIAL ANALYSIS, 2020; 53 (1)
Firstly, we shall introduce the so-called snapping out Walsh's Brownian motion and present its relation with Walsh's Brownian motion. Then the stiff p......
期刊： POTENTIAL ANALYSIS, 2020; 53 (2)
By studying the infinite dimensional Kolmogorov equation with non-local operator, we show the pathwise uniqueness for stochastic partial differential ......
期刊： POTENTIAL ANALYSIS, 2020; 53 (3)
We obtain two-sided estimates for the heat kernel (or the fundamental function) associated with the following fractional Schrodinger operator with neg......
