Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations

DOI10.3934/DCDS.2016.36.1869zbMath1329.35149arXiv1501.03622OpenAlexW2964240894MaRDI QIDQ887682

Fabio Nicola, Marco Cappiello

Publication date: 27 October 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03622

zbMATH Keywords

solitary wavesholomorphic extensionBenjamin-Ono equationalgebraic decaynonlocal semilinear equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Soliton equations (35Q51) Semilinear elliptic equations (35J61)

Related Items (3)

Pointwise decay and smoothness for semilinear elliptic equations and travelling waves ⋮ Symmetry and decay of traveling wave solutions to the Whitham equation ⋮ Decay and symmetry of solitary waves

Cites Work

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• Well-posedness for a higher-order Benjamin-Ono equation
• Entire extensions and exponential decay for semilinear elliptic equations
• Holomorphic extension of solutions of semilinear elliptic equations
• Regularity and decay of solutions of nonlinear harmonic oscillators
• Uniqueness and related analytic properties for the Benjamin-Ono equation -- A nonlinear Neumann problem in the plane
• Pseudodifferential operators and nonlinear PDE
• Decay and analyticity of solitary waves
• Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\)
• Foundations of time-frequency analysis
• On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation
• On well-posedness for the Benjamin-Ono equation
• Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients
• Ill-Posedness Issues for the Benjamin--Ono and Related Equations
• Algebraic Solitary Waves in Stratified Fluids
• Sub-Exponential Decay and Uniform Holomorphic Extensions for Semilinear Pseudodifferential Equations
• GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H¹(R)
• Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves
• Decay estimates for solutions of nonlocal semilinear equations
• Internal waves of permanent form in fluids of great depth

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