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Titlebook: Semigroups of Operators – Theory and Applications; SOTA, Kazimierz Doln Jacek Banasiak,Adam Bobrowski,Yuri Tomilov Conference proceedings 2

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Topologies in the Set of Rapidly Decreasing Distributions carried by this set into a topological convergence structure. The other allows the set in question to be topologically identified with the multiplier space for the Schwartz space of rapidly decreasing functions.
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The Method of Chernoff Approximationell as clarify relations between constructed approximations, stochastic processes, numerical schemes for PDEs and SDEs, path integrals. We discuss Chernoff approximations for operator semigroups and Schrödinger groups. In particular, we consider Feller semigroups in ., (semi)groups obtained from som
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Laplacians with Point Interactions—Expected and Unexpected Spectral Propertiesndary conditions that define generators of .-semigroups on . are characterized. Here, the Cayley transform of the matrices that describe the boundary conditions plays an important role and using an explicit representation of the Green’s functions, it allows us to study invariance properties of semig
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Positive Degenerate Holomorphic Groups of the Operators and Their Applicationsis (., .)-bounded. Necessary and sufficient conditions for the positivity of such groups are found. Using these groups, we obtain positive solutions to linear homogeneous and inhomogeneous Sobolev type equations. As an example, positive degenerate holomorphic groups are considered in Sobolev spaces
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Singular Thermal Relaxation Limit for the Moore-Gibson-Thompson Equation Arising in Propagation of Autions of a predominantly hyperbolic type. MGT models account for a finite speed propagation due to the appearance of thermal relaxation coefficient . in front of the third order time derivative. Since the values of . are relatively small and often negligible, it is important to understand the asymp
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