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Refinements of Lebesgue covers

James Smith — 1971

Fundamenta Mathematicae

Global time estimates for solutions to equations of dissipative type

Michael Ruzhansky; James Smith — 2005

Journées Équations aux dérivées partielles

Global time estimates of $L^{p} - L^{q}$ norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are applied to discuss time decay estimates for Fokker-Planck equations and for wave type equations with negative mass.

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