Existance and Uniqueness for Boussinesq type equations on a circle
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Publication:4715668
DOI10.1080/03605309608821225zbMath0861.35053OpenAlexW2085243185MaRDI QIDQ4715668
Yung-Fu Fang, Manoussos G. Grillakis
Publication date: 19 May 1997
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309608821225
A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (3)
Sur le temps d'existence pour l'équation de Klein-Gordon semi-linéaire en dimension 1 ⋮ On the controllability of the Boussinesq equation in low regularity ⋮ Two exponential-type integrators for the ``good Boussinesq equation
Cites Work
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- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Global existence of small solutions for a generalized Boussinesq equation
- Inequalities for strongly singular convolution operators
- The number of integral points on arcs and ovals
- On the Blow-up of Certain Solutions of the “Good” Boussinesq Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Boussinesq's equation on the circle
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