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Low-Regularity Local Well-Posedness for the Elastic Wave System

math.AP · 2024-11-24 · conditional · novelty 8.0

The 3D elastic wave system for admissible harmonic materials is shown to be locally well-posed with the divergence part in H^{3+} and the curl part in H^{4+}, the first low-regularity result for multi-wave-speed systems.

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  • Low-Regularity Local Well-Posedness for the Elastic Wave System math.AP · 2024-11-24 · conditional · none · ref 7

    The 3D elastic wave system for admissible harmonic materials is shown to be locally well-posed with the divergence part in H^{3+} and the curl part in H^{4+}, the first low-regularity result for multi-wave-speed systems.