On third order hyperbolic equations
Copyright policy )On third order hyperbolic equations
In this note the author considers the Cauchy problem in Gevrey classes for a third order hyperbolic equation the coefficients of which depend only on the time variable and are degenerate at the initial plane. He investigates the relation among the order of degeneration of coefficients and the index of Gevrey class in which the Cauchy problem is well posed.
- University of Tsukuba Japan
degeneration of coefficients, Higher-order nonlinear hyperbolic equations, Gevrey well posedness, Degenerate hyperbolic equations, Initial value problems for higher-order hyperbolic equations, Cauchy problem in Gevrey classes
degeneration of coefficients, Higher-order nonlinear hyperbolic equations, Gevrey well posedness, Degenerate hyperbolic equations, Initial value problems for higher-order hyperbolic equations, Cauchy problem in Gevrey classes
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