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math.AP2004★ 27 cited
A smoothing property of Schrodinger equations in the critical case
Michael Ruzhansky, Mitsuru Sugimoto
In this paper a global smoothing property of Schrodinger equations is established in the critical case in dimensions two and higher. It is shown that the critical smoothing estimat…
math.AP2004
Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities
Ilia Kamotski, Michael Ruzhansky
Properties of solutions of generic hyperbolic systems with multiple characteristics with diagonalizable principal part are investigated. Solutions are represented as a Picard serie…