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Displaying similar documents to “Strongly continuous integrated C-cosine operator functions”

On coerciveness in Besov spaces for abstract parabolic equations of higher order

Yoshitaka Yamamoto (1999)

Studia Mathematica

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We are concerned with a relation between parabolicity and coerciveness in Besov spaces for a higher order linear evolution equation in a Banach space. As proved in a preceding work, a higher order linear evolution equation enjoys coerciveness in Besov spaces under a certain parabolicity condition adopted and studied by several authors. We show that for a higher order linear evolution equation coerciveness in Besov spaces forces the parabolicity of the equation. We thus conclude that...

Self-Avoiding Walks in the Plane Несамопресичащи се разходки в равнината

Dangovski, Rumen, Petrova, Kalina (2012)

Union of Bulgarian Mathematicians

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Румен Руменов Данговски, Калина Христова Петрова - Разглеждаме броя на несамопресичащите се разходки с фиксирана дължина върху целочислената решетка. Завършваме анализа върху случая за лента, с дължина едно. Чрез комбинаторни аргументи получаваме точна формула за броя на разходките върху лента, ограничена отляво и отдясно. Формулата я изследваме и асимптотично. We examine the number of self-avoiding walks with a fixed length on the square grid graph and more specifically...