We consider the volume potential associated with the heat operator and we prove a mapping property in the space of distributions which are the time derivative of Hölder continuous functions. As an application we solve the Dirichlet and Neumann problems for the heat equation with a non-homogeneous term in such space of distributions.
A mapping property of the heat volume potential
Paolo Luzzini
2024-01-01
Abstract
We consider the volume potential associated with the heat operator and we prove a mapping property in the space of distributions which are the time derivative of Hölder continuous functions. As an application we solve the Dirichlet and Neumann problems for the heat equation with a non-homogeneous term in such space of distributions.File in questo prodotto:
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