Global time estimates for solutions to equations of dissipative type

Ruzhansky, Michael; Smith, James

Journées équations aux dérivées partielles (2005), article no. 12, 29 p.

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.

Classification : 35A20, 35S30, 58G15, 32D20
Mots clés : hyperbolic equations, time decay, Strichartz estimates, Fokker-Planck equation

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