Displaying similar documents to “Generating series and nonlinear systems: Analytic aspects, local realizability, and i/o representations.”

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.

Separation of global semianalytic sets

Hamedou Diakite (2009)

Annales Polonici Mathematici

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Given global semianalytic sets A and B, we define a minimal analytic set N such that Ā∖N and B̅∖N can be separated by an analytic function. Our statement is very similar to the one proved by Bröcker for semialgebraic sets.