Global low regularity solutions for nonlinear elastic waves

Abstract

We study the Cauchy problem for 3-D nonlinear elastic waves satisfying the null condition with low regularity initial data. In the radially symmetric case, we prove the global existence of a low regularity solution for every small data in $H^3\times H^2$ with a low weight.

26 pages. All comments are welcome. arXiv admin note: text overlap with arXiv:1710.05180

References in corpus (4)

• Generalized and weighted Strichartz estimates
• Regularity and lifespan of small solutions to systems of quasi-linear wave equations with multiple speeds,I: almost global existence
• Weighted fractional chain rule and nonlinear wave equations with minimal regularity
• Space-time $L^2$ estimates, regularity and almost global existence for elastic waves