Radon Measure-valued Solutions for Nonlinear Strongly Degenerate Parabolic Equations with Measure Data
2021 ◽
Vol 14
(1)
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pp. 204-233
Keyword(s):
In this paper, we prove the existence of Radon measure-valued solutions for nonlinear degenerate parabolic equations with nonnegative bounded Radon measure data. Moreover, we show the uniqueness of the measure-valued solutions when the Radon measure as a forcing term is diffuse with respect to the parabolic capacity and the Radon measure as a initial value is diffuse with respect to the Newtonian capacity. We also deduce that the concentrated part of the solution with respect to the Newtonian capacity depends on time.
2019 ◽
Vol 190
(2)
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pp. 245-260
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2016 ◽
Vol 32
(2)
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pp. 327-332
2005 ◽
Vol 2005
(6)
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pp. 607-617
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2015 ◽
Vol 39
(8)
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pp. 2025-2037
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2003 ◽
Vol 9
(5)
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pp. 1081-1104
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1983 ◽
pp. 453-460
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2006 ◽
Vol 279
(7)
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pp. 756-773
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