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A note on fundamental solutions and Gaussian bounds for degenerate parabolic equations with time-dependent coefficients
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2023 (English)In: Article in journal (Refereed) Submitted
Abstract [en]

We consider second order degenerate parabolic equations with real, measurable, and time-dependent coefficients. We allow for degenerate ellipticity dictated by a spatial A_2-weight. We prove the existence of a fundamental solution and derive Gaussian bounds. Our construction is based on the original work of Kato \cite{Kato}.

Place, publisher, year, edition, pages
2023.
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Mathematical Analysis
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URN: urn:nbn:se:uu:diva-498671OAI: oai:DiVA.org:uu-498671DiVA, id: diva2:1744345
Available from: 2023-03-17 Created: 2023-03-17 Last updated: 2023-03-17

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