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Weighted a priori estimates for small data

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Lectures on Nonlinear Evolution Equations

Part of the book series: Aspects of Mathematics ((ASMA,volume 19))

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Abstract

Besides the energy estimate which we proved in Chapter 6 the following a priori estimate is essential for the proof of the global existence theorem (Theorem 1.1). As a new ingredient it takes advantage from the decay estimates that were obtained in Chapter 2 for solutions of the linearized equation.

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© 1992 Springer Fachmedien Wiesbaden

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Racke, R. (1992). Weighted a priori estimates for small data. In: Lectures on Nonlinear Evolution Equations. Aspects of Mathematics, vol 19. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-10629-6_8

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  • DOI: https://doi.org/10.1007/978-3-663-10629-6_8

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-10631-9

  • Online ISBN: 978-3-663-10629-6

  • eBook Packages: Springer Book Archive

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