# Gevrey well posedness for $3$-evolution equations with variable coefficients

@inproceedings{Junior2021GevreyWP, title={Gevrey well posedness for \$3\$-evolution equations with variable coefficients}, author={Alexandre Arias Junior and Alessia Ascanelli and Marco Cappiello}, year={2021} }

We study the Cauchy problem for a class of third order linear anisotropic evolution equations with complex valued lower order terms depending both on time and space variables. Under suitable decay assumptions for |x| → ∞ on these coefficients, we prove a well posedness result in Gevrey-type spaces. 2010 Mathematics Subject Classification: 35G10, 35S05, 35B65, 46F05

#### One Citation

The Cauchy problem for $3$-evolution equations with data in Gelfand-Shilov spaces

- Mathematics
- 2020

We consider the Cauchy problem for a $3$-evolution operator $P$ with complex valued lower order terms. We assume the initial data to be Gevrey regular and to admit an exponential decay at infinity… Expand

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