On the well-posedness of a nonlinear pseudo-parabolic equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-020-00813-5
Abstract: In this paper we consider the Cauchy problem for the pseudo-parabolic equation: $$\begin{aligned} \dfrac{\partial }{\partial t} \left( u + \mu (-\Delta )^{s_1} u\right) + (-\Delta )^{s_2} u = f(u),\quad x \in \Omega ,~ t>0. \end{aligned}$$… read more here.
Keywords: well posedness; pseudo parabolic; posedness nonlinear; parabolic equation ... See more keywords
Well posedness of the nonlinear Schrödinger equation with isolated singularities
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.10.017
Abstract: We study the well posedness of the nonlinear Schrödinger (NLS) equation with a point interaction and power nonlinearity in dimension two and three. Behind the autonomous interest of the problem, this is a model of… read more here.
Keywords: well posedness; nonlinear schr; posedness nonlinear; schr dinger ... See more keywords