We describe a way to locally solve the Cauchy problem for nonlinear hyperbolic equations with characteristic roots of constant multiplicity. A universal reduction to a first order system gives an optimal space for well-posedness under different assumptions on the lower order terms or on the regularity of the equation. The method also gives the propagation of the analytic regularity of the solution in domains of influence
A general approach to the nonlinear hyperbolic Cauchy problem with constant multiplicity.
ZANGHIRATI, Luisa
2001
Abstract
We describe a way to locally solve the Cauchy problem for nonlinear hyperbolic equations with characteristic roots of constant multiplicity. A universal reduction to a first order system gives an optimal space for well-posedness under different assumptions on the lower order terms or on the regularity of the equation. The method also gives the propagation of the analytic regularity of the solution in domains of influenceFile in questo prodotto:
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