Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations

J. Math. Sci. Univ. Tokyo
Vol. 18 (2011), No. 1, Page 67--137.

Tahara, Hidetoshi
Gevrey Regularity in Time of Solutions to Nonlinear Partial Differential Equations
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Abstract:
The paper considers nonlinear partial differential\break equations $$ t^{\gamma} (\partial /\partial t)^m u = G \left(t,x,\{(\partial /\partial t)^j (\partial /\partial x)^{\alpha}u \}_{j
Keywords: Gevrey class, Gevrey regularity, time regularity, solution, nonlinear PDE.

Mathematics Subject Classification (2010): Primary 35B65, Secondary 35G20.
Received: 2011-01-13