Revisited bilinear Schrödinger estimates with applications to generalized Boussinesq equations

Dan-Andrei Geba; Evan Witz; Dan-Andrei Geba; Evan Witz

doi:10.3934/era.2020033

Electronic Research Archive

2020, Volume 28, Issue 2: 627-649. doi: 10.3934/era.2020033

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Revisited bilinear Schrödinger estimates with applications to generalized Boussinesq equations

Dan-Andrei Geba ^,,
Evan Witz

Department of Mathematics, University of Rochester, Rochester, NY 14627, USA

Received: 01 December 2019
Primary: 35B30; Secondary: 35Q55

In this paper, our goal is to improve the local well-posedness theory for certain generalized Boussinesq equations by revisiting bilinear estimates related to the Schrödinger equation. Moreover, we propose a novel, automated procedure to handle the summation argument for these bounds.
- Boussinesq equation,
- Schrödinger equation,
- local well-posedness,
- bilinear estimates,
- Python code
Citation: Dan-Andrei Geba, Evan Witz. Revisited bilinear Schrödinger estimates with applications to generalized Boussinesq equations[J]. Electronic Research Archive, 2020, 28(2): 627-649. doi: 10.3934/era.2020033

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Abstract

In this paper, our goal is to improve the local well-posedness theory for certain generalized Boussinesq equations by revisiting bilinear estimates related to the Schrödinger equation. Moreover, we propose a novel, automated procedure to handle the summation argument for these bounds.

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