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math.AP2006★ 1 cited
Global time estimates for solutions to equations of dissipative type
Michael Ruzhansky, James Smith
Global time estimates of Lp-Lq norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equat…
math.AP2006
Smoothing estimates for evolution equations via canonical transforms and comparison
Michael Ruzhansky, Mitsuru Sugimoto
The paper describes a new approach to global smoothing problems for dispersive and non-dispersive evolution equations based on the global canonical transforms and the underlying gl…