Long time decay for 2D Klein-Gordon equation |
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| Authors: | E.A. Kopylova A.I. Komech |
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| Affiliation: | a Institute for Information Transmission Problems RAS, B. Karetny 19, Moscow 101447, GSP-4, Russian Federation
b Fakultät für Mathematik, Universität Wien, Austria |
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| Abstract: | We obtain a dispersive long-time decay in weighted energy norms for solutions of the 2D Klein-Gordon equations. The decay extends the results obtained by Jensen, Kato and Murata for the equations of Schrödinger's type by the spectral approach. For the proof we modify the approach to make it applicable to relativistic equations. |
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| Keywords: | Klein-Gordon equations Resolvent Cauchy problem Long-time asymptotics |
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