Weighted energy estimates for $p$-evolution equations

We prove energy estimates for linear $p$-evolution equations in weighted Sobolev spaces under suitable assumptions on the behavior at infinity of the coefficients with respect to the space variables. As a consequence we obtain well posedness for the related Cauchy problem in the Schwartz spaces $\mathcal{S}$ and $\mathcal{S}'$.

No structured reviews yet. High-signal critique starts here.

No discussion yet. The first strong comment sets the tone.