Displaying similar documents to “A remark concerning the dependence on the initial data of the solution of the Cauchy problem for a linear equation with analytic coefficients”

Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations

Kunihiko Kajitani (2000)

Journées équations aux dérivées partielles

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We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of p -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When p = 2 , his equation as the global real analytic solution for the real analytic initial data.

Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions

Hideshi Yamane (2012)

Banach Center Publications

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We study the lifespan of solutions to fully nonlinear second-order Cauchy problems with small real- or complex-analytic data. The nonlinear term is an analytic function in u, ū and their derivatives. We give an outline of the proof based on the method of majorants and the fixed point technique.