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math.AP2023
Global well-posedness for a family of regularized Benjamin-type equations
Izabela Patrício Bastos, Daniel G. Alfaro Vigo, Ailín Ruiz de Zárate Fábregas +2
In this work we prove local and global well-posedness results for the Cauchy problem of a family of regularized nonlinear Benjamin-type equations in both periodic and nonperiodic S…
math.AP2023
Decay rates for the 4D energy-critical nonlinear heat equation
Leonardo Kosloff, César J. Niche, Gabriela Planas
In this paper we address the decay of solutions to the four-dimen\-sional energy-critical nonlinear heat equation in the critical space . Recently, it was proven that th…