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Shape preservation of evolution equations

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 :.

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Shape preservation of evolution equations

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  1. Shape preservationofevolutionequations András Bátkai, ELTE Budapest A. Bobrowski (Lublin) TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAA

  2. Whatisshape? Whatisshapepreservation? Examples: Positivitypreservation: Monotonicitypreservation: Convexity/concavitypreservation: More involved:

  3. Monotonicity: Convexity: Wentzellboundaryconditions Negative Convexity: Convexity:

  4. Somemorereferences: convexitypreservationofgeneralnonlocalWentzellb.c.

  5. Theorem:

  6. Theorem: (Miyadera-Voigt perturbation) (generalizationof Arendt-Rhandi)

  7. Delay-equations Reference: SemigroupsforDelayEquations (withS. Piazzera) A K Peters, 2005

  8. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAA

  9. Miyadera-Voigt perturbation

  10. monotonicitypreservation convexitypreservation

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