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math.AP2026
Gaussians Do Not Always Maximize Mixed-Norm Strichartz Inequalities for the Schrödinger Equation
Felipe Gonçalves, Giuseppe Negro, Diogo Oliveira e Silva
We investigate the maximization problem for the family of mixed-norm Strichartz inequalities for the Schrödinger equation, $\|e^{-itΔ/2}f\|_{L_t^qL_{\boldsymbol{x}}^r(\mathbb{R}^{1…
math.AP2023
Global solutions with asymptotic self-similar behaviour for the cubic wave equation
Thomas Duyckaerts, Giuseppe Negro
We construct a two-parameter family of explicit solutions to the cubic wave equation on . Depending on the value of the parameters, these solutions either scatter…