LOCAL EXISTENCE FOR SEMILINEAR WAVE EQUATIONS AND APPLICATIONS TO YANG–MILLS EQUATIONS

DOI10.1142/S0219891605000373zbMath1071.35088MaRDI QIDQ4680608

Yung-Fu Fang

Publication date: 7 June 2005

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

fixed point argumentLorentz gaugeinitial data with minimal regularity

Mathematics Subject Classification ID

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

Related Items (1)

On the Dirac–Klein–Gordon Equations in Three Space Dimensions

Cites Work

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• The Cauchy problem for the Yang-Mills equations
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
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• Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
• Decay of classical Yang-Mills fields
• A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations
• On the Maxwell-Klein-Gordon equation with finite energy
• Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)
• Commutator estimates and the euler and navier-stokes equations
• Elliptic Partial Differential Equations of Second Order
• Local regularity of nonlinear wave equations in three space dimensions
• Space‐time estimates for null forms and the local existence theorem
• Counterexamples to Local Existence for Semi-Linear Wave Equations

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