We consider the initial value problem for a class of semilinear p-evolution equations with (t, x)-depending coefficients. Under suitable decay conditions for |x|→∞ on the imaginary part of the coefficients, we prove local in time well posedness of the Cauchy problem in suitable weighted Sobolev spaces.
Semilinear p-Evolution Equations in Weighted Sobolev Spaces
Ascanelli Alessia
Primo
;
2021
Abstract
We consider the initial value problem for a class of semilinear p-evolution equations with (t, x)-depending coefficients. Under suitable decay conditions for |x|→∞ on the imaginary part of the coefficients, we prove local in time well posedness of the Cauchy problem in suitable weighted Sobolev spaces.File in questo prodotto:
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