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arxiv: 2606.10425 · v1 · pith:3MUDQHZDnew · submitted 2026-06-09 · 🧮 math.AP

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

classification 🧮 math.AP
keywords coefficientsdegenerateequationsevolutionallowingarbitraryblow-upcauchy
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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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