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Subjects
35-XX Partial differential equations
35Lxx Hyperbolic equations and systems
35L30 Initial value problems for higher-order hyperbolic equations

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Generalized Gevrey classes and multi-quasi-hyperbolic operators.

Calvo, D. (2002)

Rendiconti del Seminario Matematico

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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