A special form of solution to half-wave equations

DOI10.3934/eect.2021056zbMath1498.35352OpenAlexW3207004986MaRDI QIDQ2089094

Hyungjin Huh

Publication date: 6 October 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2021056

zbMATH Keywords

Hilbert transformhalf-wave equationnonlocal nonlinear transport equation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for nonlinear first-order PDEs (35F25) Transport equations (35Q49)

Cites Work

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• Finite time singularities in a 1D model of the quasi-geostrophic equation
• Wellposedness for semirelativistic Schrödinger equation with power-type nonlinearity
• A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line
• Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation
• Effective integrable dynamics for a certain nonlinear wave equation
• On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations
• On a system of semirelativistic equations in the energy space
• Well-posedness for the Cauchy problem for a system of semirelativistic equations
• On the orbital stability of fractional Schrödinger equations
• Some nonexistence results for a semirelativistic Schrödinger equation with nongauge power type nonlinearity
• Existence of ground states for a one-dimensional relativistic Schrödinger equation
• A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity

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