Alexandre Arias

activity

20202026

3

-evolution equations with variable coefficients

4 citations · 6 across the 12 of their papers we have counts for

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math.AP2023

Some remarks on the Cauchy Problem for Schrödinger type equations in Gelfand-Shilov spaces

Alexandre Arias Junior

We consider the Cauchy problem for Schrödinger type operators. Under a suitable decay assumption on the imaginary part of the first order coefficients we prove well-posedness of th…

math.AP2023★ 1 cited

On the Cauchy problem for $p$ -evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness

Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello

In this paper we consider a class of $p$ -evolution equations of arbitrary order with variable coefficients depending on time and space variables $(t, x)$ . We prove necessary conditi…

Some remarks on the Cauchy Problem for Schrödinger type equations in Gelfand-Shilov spaces

On the Cauchy problem for p-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness

On the Cauchy problem for $p$ -evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness