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Taylor and Francis Group, Communications in Partial Differential Equations, 7-8(28), p. 1325-1369, 2003

DOI: 10.1081/pde-120024371

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Decay Estimates for the Wave Equation with Potential

Journal article published in 2003 by Vladimir Georgiev ORCID, Nicola Visciglia
This paper is available in a repository.
This paper is available in a repository.

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Abstract

The solution of the non-homogeneous linear wave equation: # = F, t > 0, x u(0, x) = 0, # t u(0, x) = 0 defines a continuous linear map, I(F ) := u provided that the parameters satisfy some appropriate assumptions (see [6], [16], [18], [14]). More precisely, the couples (1/p, 1/q) (1/p # , 1/q # ), p # q have to belong to the triangle (see the next Figure 1). One can include in the set of admissible couples all points of the contour...