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| tending to infinity 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

Marco Cappiello
2021-01-01

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| tending to infinity on the imaginary part of the coefficients, we prove local in time well posedness of the Cauchy problem in suitable weighted Sobolev spaces.
2021
Anomalies in Partial Differential Equations
Springer
INDAM Series in Mathematics
43
1
34
p-evolution equations, Semilinear Cauchy problem, Nash-Moser theorem, Weighted Sobolev spaces, Pseudo-differential operators
Alessia Ascanelli; Marco Cappiello
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1777607
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