On regularity properties of solutions to the hysteresis-type problem (Q2515794)
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| Language | Label | Description | Also known as |
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| English | On regularity properties of solutions to the hysteresis-type problem |
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On regularity properties of solutions to the hysteresis-type problem (English)
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6 August 2015
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The paper deals with the regularity of the solutions to a heat equation with a hysteresis operator. Using the argument based on the quadratic growth estimates for the solutions near the free boundary, the appropriate estimates for the function and its derivatives are provided.
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free boundary
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hysteresis
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monotonicity formula
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quadratic growth estimates
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