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Local well-posedness and small data scattering for energy super-critical nonlinear wave equations

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In this work, we consider the following nonlinear wave equations We prove that when and The Cauchy problem is locally well-posed in with . Moreover, the small data theory holds… Click to show full abstract

In this work, we consider the following nonlinear wave equations We prove that when and The Cauchy problem is locally well-posed in with . Moreover, the small data theory holds under the same restriction.

Keywords: posedness small; well posedness; local well; small data; wave equations; nonlinear wave

Journal Title: Applicable Analysis
Year Published: 2019

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