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Titlebook: Analysis and Applications - ISAAC 2001; Heinrich G. W. Begehr,Robert P. Gilbert,Man Wah Wo Book 2003 Springer Science+Business Media Dordr

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Multiple Highly Oscillatory Shock Waves,e. For the problem of multiple weak shocks perturbed by small amplitude, high frequency oscillatory waves, we obtain that the leading profiles of oscillatory shocks are solutions to an integro-differential system with free boundaries, the leading terms of shock fronts don’t oscillate, and oscillatio
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Digital Scientific Communicationof the homoclinic zone. An analytic invariant associated with a parabolic fixed point is an important ingredient of this formula. The proof of the asymptotic formula is not complete. Additionally we provide results of computations of the invariant for model families.
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Zhanna Mingaleva,Irina Mirskikhgebraic, ordinary differential and partial differential, and also to systems of such equations. Power Geometry is an alternative to Algebraic Geometry, Group Analysis, Nonstandard Analysis, Microlocal Analysis etc.
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Kseniy Lapshina,Zhanna Mingalevast part of the survey, we discuss concrete examples where different kinds of .-Carleson measures (0 < . < 1) are important. In the last section, we discuss a more general theory which gives both new results and new proofs of several results from the first part.
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