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arXiv · 2304.04184

Parabolic and Elliptic Schauder Theory on Manifolds for a Fourth-Order Problem with a First- and a Third-Order Boundary Condition

Jan-Henrik Metsch
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Abstract

These notes provide a self-contained introduction to Schauder theory on manifolds. First, we derive Schauder estimates for a fourth-order parabolic linear problem with a first- and third-order boundary condition on a smooth compact manifold M. Then, applying these, we prove the existence of solutions and study the associated elliptic problem.

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Jan-Henrik Metsch. 2023-04-09. Parabolic and Elliptic Schauder Theory on Manifolds for a Fourth-Order Problem with a First- and a Third-Order Boundary Condition. https://arxiv.org/abs/2304.04184

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