Corpus ID: 235458168

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

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