Shape preservation of evolution equations
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Shape preservation of evolution equations András Bátkai, ELTE Budapest A. Bobrowski (Lublin)
description
Shape preservation of evolution equations. András Bátkai , ELTE Budapest. A. Bobrowski (Lublin). TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A A A A. What is shape ? What is shape preservation ? Examples :. Positivity preservation :. - PowerPoint PPT Presentation
Transcript of Shape preservation of evolution equations
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Shape preservation of evolution equations
András Bátkai, ELTE Budapest
A. Bobrowski (Lublin)
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What is shape? What is shape preservation? Examples:
Monotonicity preservation:
Convexity/concavity preservation:
More involved:
Positivity preservation:
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Monotonicity:
Convexity:
Negative Convexity:
Wentzell boundary conditions
Convexity:
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Some more references:
convexity preservation of general nonlocal Wentzell b.c.
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Theorem:
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Theorem:
(Miyadera-Voigt perturbation)
(generalization of Arendt-Rhandi)
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Reference:
A K Peters, 2005
Semigroups for Delay Equations(with S. Piazzera)
Delay-equations
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Miyadera-Voigt perturbation
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monotonicity preservation
convexity preservation