Well-Posedness Of Second-Order Evolution Equations With Non-Integrable And Degenerate Coefficients In Weighted Lp-Spaces

Ildoo Kim; Kyeong-Hun Kim

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arXiv · 2606.10425

Well-Posedness Of Second-Order Evolution Equations With Non-Integrable And Degenerate Coefficients In Weighted Lp-Spaces

Ildoo Kim·Kyeong-Hun Kim

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Abstract

We study the Cauchy problem for inhomogeneous evolution equations with time-dependent, potentially degenerate, and unbounded coefficients. A key feature of our work is allowing the principal coefficients to undergo arbitrary blow-up at both the initial and terminal times.

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Ildoo Kim, Kyeong-Hun Kim. 2026-06-09. Well-Posedness Of Second-Order Evolution Equations With Non-Integrable And Degenerate Coefficients In Weighted Lp-Spaces. https://arxiv.org/abs/2606.10425

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