Global Existence with Large Data for a Nonlinear Weakly Hyperbolic Equation

DOI<5::AID-MANA5>3.0.CO;2-M 10.1002/1522-2616(200111)231:1<5::AID-MANA5>3.0.CO;2-MzbMath0994.35093OpenAlexW1973862923MaRDI QIDQ2770423

Alessandra di Giuseppe, Piero D'Ancona

Publication date: 25 September 2002

Full work available at URL: https://doi.org/10.1002/1522-2616(200111)231:1<5::aid-mana5>3.0.co;2-m

zbMATH Keywords

semilinear equationsubcritical defocusing power nonlinearity

Mathematics Subject Classification ID

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

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Cites Work

• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Regularity results for nonlinear wave equations
• A note on a theorem of Jörgens
• Global and unique weak solutions of nonlinear wave equations
• Regularity for the wave equation with a critical nonlinearity
• Regularity of solutions of critical and subcritical nonlinear wave equations
• Local existence for semilinear weakly hyperbolic equations with time dependent coefficients