Weighted decay estimate for the wave equation
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- by Valéry Covachev and Vladimir Georgiev PDF
- Proc. Amer. Math. Soc. 112 (1991), 393-402 Request permission
Abstract:
The work is devoted to the proof of a new ${L^\infty } - {L^2}$ weighted estimate for the solution to the nonhomogeneous wave equation in $\left ( {3 + 1} \right )$-dimensional space-time. The weighted Sobolev spaces are associated with the generators of the Poincaré group. The estimate obtained is applied to prove the global existence of a solution to a nonlinear system of wave and Klein-Gordon equations with small initial data.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 393-402
- MSC: Primary 35L05; Secondary 35B45, 35Q40
- DOI: https://doi.org/10.1090/S0002-9939-1991-1055769-7
- MathSciNet review: 1055769