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Volume 8, Issue 2, Article 36 |
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Dirichlet Green Functions for Parabolic Operators with Singular Lower-Order Terms
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Authors: |
Lotfi Riahi, |
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Keywords:
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Green function, Parabolic operator, Initial-Dirichlet problem, Boundary behavior, Singular potential, Singular drift term, Radon measure, Schrödinger heat kernel, Parabolic Kato class. |
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Date Received:
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15/03/06 |
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Date Accepted:
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10/04/07 |
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Subject Codes: |
34B27, 35K10.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
We prove the existence and uniqueness of a continuous Green function for the parabolic operator  with the initial Dirichlet boundary condition on a  -cylindrical domain  , satisfying lower and upper estimates, where  and  are in general classes of signed Radon measures covering the well known parabolic Kato classes.
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