Revisited bilinear Schr "odinger estimates with applications to\n generalized Boussinesq equations

2019/12/25 by Dan-Andrei Geba, Geba, Dan-Andrei, Evan Witz +1
Earth and Planetary Sciences · Mathematics · #35B30 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.1912.11653

openalex publication_date 2019/12/25 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this paper, our goal is to improve the local well-posedness theory for\ncertain generalized Boussinesq equations by revisiting bilinear estimates\nrelated to the Schr "odinger equation. Moreover, we propose a novel,\nautomated procedure to handle the summation argument for these bounds.\n

Related

• Sharp local well-posedness for the "good" Boussinesq equation
• Bilinear estimate for Schrödinger equation on ℝ × \mathbbT
• Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)
• A lower index bilinear estimate for the quadratic Schrödinger equation and application for its half line problem
• A decomposition for the Schrodinger equation with applications to bilinear and multilinear estimates