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Sobolev Type Inequalities with Decay Factor

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Nonlinear Wave Equations

Part of the book series: Series in Contemporary Mathematics ((SCMA,volume 2))

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Abstract

In this chapter we are going to establish Sobolev type inequalities with decay factor. The key point is to consider the Lorentz invariance of the wave operator and then introduce a group of first-order partial differential operators instead of the normal differential operators in the differential operations (see Klainerman 1985).

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Correspondence to Tatsien Li .

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© 2017 Springer-Verlag GmbH Germany and Shanghai Scientific and Technical Publishers

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Li, T., Zhou, Y. (2017). Sobolev Type Inequalities with Decay Factor. In: Nonlinear Wave Equations. Series in Contemporary Mathematics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55725-9_3

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