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bounded domains 1elliptic equations 1interpolation theory 1nonlocal operators 1parabolic equations 1self-improving estimates 1

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20242026
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math.AP2026

Self-improving properties for a class of elliptic and parabolic equations on bounded domains

Tadele Mengesha, Abner J. Salgado

The paper studies how solutions to certain local and nonlocal elliptic and parabolic equations on bounded domains gain extra regularity, using interpolation theory and analytic per…