Sharp criteria of blow-up solutions for the cubic nonlinear beam equation

DOI10.1186/s13661-019-1149-5OpenAlexW2926729062MaRDI QIDQ2108238

Jun Qing, Chuangyuan Zhang

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1149-5

zbMATH Keywords

blow-upsharp criteria\(H^2\) energy-criticalcubic nonlinear beam equation

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Related Items (2)

Exact thresholds for global existence to the nonlinear beam equations with and without a damping ⋮ Sharp criteria of blow-up for the energy-critical nonlinear wave equation with a damping term

Cites Work

• Unnamed Item
• On the blow-up solutions for the nonlinear fractional Schrödinger equation
• Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential
• Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: the radial case
• Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
• Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation
• Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Best constant in Sobolev inequality
• Decay estimates for fourth order wave equations
• Stability and instability of fourth-order solitary waves
• Time decay for the nonlinear beam equation
• Stability of standing waves for the nonlinear fractional Schrödinger equation
• Sharp threshold of blow-up and scattering for the fractional Hartree equation
• Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
• On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
• Limiting behavior of blow-up solutions for the cubic nonlinear beam equation
• Solvability of the Cauchy problem of nonlinear beam equations in Besov spaces
• Scattering for the defocusing Beam equation in low dimensions
• Self-Focusing with Fourth-Order Dispersion
• On Blow-up Solutions to the 3D Cubic Nonlinear Schrodinger Equation
• Spatial patterns. Higher order models in physics and mechanics

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