期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021; 46 (9)
For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we show that, under suitable conditions on the nonlinea......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021; 46 (10)
This paper concerns the modified fractional Korteweg-de Vries (modified fKdV) and fractional cubic nonlinear Schrodinger (fNLS) equations, with the di......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021; 46 (11)
We prove a long time existence result for the solutions of a two-dimensional Boussinesq system modeling the propagation of long, weakly nonlinear wate......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021; 46 (11)
This article is devoted to the study of the Cauchy problem for the Muskat equation. We consider initial data belonging to the critical Sobolev space o......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, ; ()
In this article, we consider a class of prescribed Weingarten curvature equations. Under some sufficient conditions, we obtain an existence result by ......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, ; ()
Consider the higher order parabolic operator partial derivative(t) + (-Delta(x))(m) and the higher order Schrodinger operator i(-1)partial derivative(......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020; 45 (10)
This paper concerns the random source problems for the time-harmonic acoustic and elastic wave equations in two and three dimensions. The goal is to d......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020; 45 (12)
We present the sharp characterization of the behavior at the isolated singularities of positive solutions of some equations on singular manifolds with......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020; 45 (7)
We consider quantitative estimates in periodic homogenization for second-order elliptic systems with stratified structure on bounded Lipschitz domains......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019; 44 (8)
In bounded domains, without any geometric conditions, we study the existence and uniqueness of globally Lipschitz and interior strong (and classical C......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019; 44 (6)
The aim of this paper is threefold. First, we obtain the precise bounds for the heat kernel on isotropic Heisenberg groups by using well-known results......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019; 44 (11)
In this article, we study the logarithmic Laplacian operator We show that this operator has the integral representation
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019; 44 (7)
This paper is concerned with the uniqueness of solutions to the following nonlocal semi-linear elliptic equationwhere omega is a bounded domain in and......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019; 44 (9)
This article concerns rigidity results to Serrin's overdetermined problem in an epigraphWe prove that up to isometry the epigraph must be a half space......
期刊： COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019; 44 (9)
This article is devoted to studying the vanishing contact structure problem which is a generalization of the vanishing discount problem. Let be a fami......
