Global existence of low regularity solutions of nonlinear wave equations

DOI10.1007/BF02572346zbMath0824.35074MaRDI QIDQ1895766

Pedro Paulo Schirmer, Vladimir Georgiev

Publication date: 29 August 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174754

zbMATH Keywords

global existence theoremweak regularity assumptionsnull condition type nonlinearities

Mathematics Subject Classification ID

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

Related Items (5)

Local existence of energy class solutions for the dirac—klein—gordon equations ⋮ Unnamed Item ⋮ Small data wave maps in cyclic spacetime ⋮ Global Existence of Solutions to Nonlinear Wave Equations ⋮ On global existence of solutions to nonlinear wave equations of wave map type

Cites Work

• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Fourier integral operators. I
• Global solutions of nonlinear hyperbolic equations for small initial data
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions
• Local regularity of nonlinear wave equations in three space dimensions
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