An Introduction to the Theory of Wave Maps and Related Geometric Problems

DOI10.1142/9752zbMath1364.35005OpenAlexW2482273925MaRDI QIDQ2818806

Dan-Andrei Geba, Manoussos G. Grillakis

Publication date: 8 September 2016

Full work available at URL: https://doi.org/10.1142/9752

zbMATH Keywords

harmonic mapgeneral relativityStrichartz estimatesLorentzian geometrySkyrme modelnull conditionFaddeev problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Quantum field theory on curved space or space-time backgrounds (81T20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Harmonic maps, etc. (58E20) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Hyperbolic equations on manifolds (58J45) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

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