4 citations · 6 across the 12 of their papers we have counts for
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Schwartz very weak solutions for Schrödinger type equations with distributional coefficients
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello +1
This paper continues the analysis of Schrödinger type equations with distributional coefficients initiated by the authors in [3]. Here we consider coefficients that are tempered di…
The Cauchy problem for -evolution equations with variable coefficients in Gevrey classes
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello +1
We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumpti…
estimates for solutions to the plate equation with mass term
Alexandre Arias Junior, Halit Sevki Aslan, Antonio Lagioia +1
In this paper, we study the Cauchy problem for the linear plate equation with mass term and its applications to semilinear models. For the linear problem we obtain estima…
Schrödinger type equations with singular coefficients and lower order terms
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello +1
In this paper we investigate the well-posedness of the Cauchy problem for a Schrödinger operator with singular lower order terms. We allow distributional coefficients and we approa…