Hyperbolic and parabolic equations with several opposite-sign source at critical initial energy level in heat and vibrating systems

DOI10.1016/j.na.2020.111752zbMath1435.35080OpenAlexW3001991994WikidataQ126330796 ScholiaQ126330796MaRDI QIDQ2309329

Xiaoqiang Dai

Publication date: 30 March 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111752

zbMATH Keywords

asymptotic behaviorglobal nonexistencecritical initial dataheat and vibrating system

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Second-order nonlinear hyperbolic equations (35L70) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients

Cites Work

• Nonlinear nonhomogeneous Robin problems with superlinear reaction term
• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance
• On potential wells and vacuum isolating of solutions for semilinear wave equations
• Double phase anisotropic variational problems and combined effects of reaction and absorption terms
• The initial-boundary value problems for a class of sixth order nonlinear wave equation
• Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
• Multiple solutions with precise sign for nonlinear parametric Robin problems
• Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign
• NONLINEAR WAVE EQUATIONS AND REACTION–DIFFUSION EQUATIONS WITH SEVERAL NONLINEAR SOURCE TERMS OF DIFFERENT SIGNS AT HIGH ENERGY LEVEL
• Global solutions and finite time blow-up for fourth order nonlinear damped wave equation
• Nonlinear Analysis - Theory and Methods

This page was built for publication: Hyperbolic and parabolic equations with several opposite-sign source at critical initial energy level in heat and vibrating systems