The lifespan of classical solutions to nonlinear wave equations in two space dimensions

DOI10.14492/hokmj/1381413726zbMath0782.35040OpenAlexW2071003953MaRDI QIDQ1207185

Hiroyuki Takamura, Rentaro Agemi

Publication date: 1 April 1993

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381413726

zbMATH Keywords

initial value problemslifespannonlinear wave equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (11)

An elementary proof of the exponential blow‐up for semi‐linear wave equations ⋮ A Global Existence Theorem for Semilinear Wave Equations with Data of Non Compact Support in Two Space Dimensions ⋮ Blow-up for semilinear wave equations in four or five space dimensions ⋮ Slowly decaying solutions for semilinear wave equations in odd space dimensions ⋮ Critical blowup for systems of semilinear wave equations in low space dimensions ⋮ Scattering Theory for Semilinear Wave Equations with Small Data in Two Space Dimensions ⋮ Blow-up theorem for semilinear wave equations with non-zero initial position ⋮ On the critical decay for the wave equation with a cubic convolution in 3D ⋮ Scattering theory for semilinear wave equations with small data in two space dimensions ⋮ The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions ⋮ Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential

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