On Blow up of Solutions of Nonlinear Evolution Equations

DOI10.2307/2047550zbMath0654.35071OpenAlexW4212821631MaRDI QIDQ3800450

Philip Korman

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047550

zbMATH Keywords

nonexistenceblow upglobal solutionsnonlinear evolution equationphase planesecond order inequalities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45)

Related Items (1)

Blow-up estimates of positive radial solutions of a class first-order evolution systems

Cites Work

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• Finite-time blow-up for solutions of nonlinear wave equations
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
• Blow-up theorems for nonlinear wave equations
• Biow-up of solutions of some nonlinear hyperbolic equations
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Global, small amplitude solutions to nonlinear evolution equations
• On the growth of solutions of quasi‐linear parabolic equations

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