Parametric Resonance in Wave Maps

Author:

Nishitani Tatsuo1,Yagdjian Karen2

Affiliation:

1. Osaka University

2. University of Texas-Pan American

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference25 articles.

1. [1] D'Ancona, P. and Georgiev, V., Wave maps and ill-posedness of their Cauchy problem, New trends in the theory of hyperbolic equations, Oper. Theory Adv. Appl., 159, Birkhäuser, Basel, 2005, pp. 1-111.

2. [2] Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G., Higher Transcendental Functions, Vols. 1, 2, McGraw-Hill, New York, 1953.

3. [3] Choquet-Bruhat, Y., Global wave maps on Robertson-Walker spacetimes, Nonlinear Dynam., 22 (2000), 39-47.

4. [4] Dafermos, M., On "time-periodic" black-hole solutions to certain spherically symmetric Einstein-matter systems, Comm. Math. Phys., 238 (2003), 411-427.

5. [5] Eastham, M. S. P., The spectral theory of periodic differential equations, Texts in Mathematics (Edinburgh), Scottish Academic Press, Edinburgh and London, 1973.

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1. Small Data Wave Maps in Cyclic Spacetime;Springer INdAM Series;2020-11-02

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