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Semigroups and evolutionary equations [PDF]
Semigroup Forum, 2021 AbstractWe show how strongly continuous semigroups can be associated with evolutionary equations. For doing so, we need to define the space of admissible history functions and initial states. Moreover, the initial value problem has to be formulated within the framework of evolutionary equations, which is done by using the theory of extrapolation spaces.
Sascha Trostorff, Trostorff Sascha
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Foundations of Ecological and Evolutionary Change [PDF]
Ecology and EvolutionBiological evolution is realised through the same mechanisms of birth and death that underlie change in population density. The deep interdependence between ecology and evolution is well established, and recent models focus on integrating eco ...
A. Bradley Duthie, Victor J. Luque
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Difference equations as models of evolutionary population dynamics
Journal of Biological Dynamics, 2019 We describe the evolutionary game theoretic methodology for extending a difference equation population dynamic model in a way so as to account for the Darwinian evolution of model coefficients.
J. M. Cushing
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Maximal Regularity for Non-autonomous Evolutionary Equations [PDF]
Integral Equations and Operator Theory, 2021 AbstractWe discuss the issue of maximal regularity for evolutionary equations with non-autonomous coefficients. Here evolutionary equations are abstract partial-differential algebraic equations considered in Hilbert spaces. The catch is to consider time-dependent partial differential equations in an exponentially weighted Hilbert space. In passing, one
Sascha Trostorff +2 more
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Finite dimensional dynamics for evolutionary equations [PDF]
Nonlinear Dynamics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valentin Lychagin
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Operator Ordering and Solution of Pseudo-Evolutionary Equations [PDF]
Axioms, 2019 The solution of pseudo initial value differential equations, either ordinary or partial (including those of fractional nature), requires the development of adequate analytical methods, complementing those well established in the ordinary differential ...
Nicolas Behr +2 more
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Evolutionary equations are G-compact
Journal of Evolution EquationsAbstractWe prove a compactness result related to G-convergence for autonomous evolutionary equations in the sense of Picard. Compared to previous work related to applications, we do not require any boundedness or regularity of the underlying spatial domain; nor do we assume any periodicity or ergodicity assumption on the potentially oscillatory part ...
Marcus Waurick +2 more
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Evolutionary Branching via Replicator–Mutator Equations [PDF]
Journal of Dynamics and Differential Equations, 2018 We consider a class of non-local reaction-diffusion problems, referred to as replicator-mutator equations in evolutionary genetics. For a confining fitness function, we prove well-posedness and write the solution explicitly, via some underlying Schrödinger spectral elements (for which we provide new and non-standard estimates).
Matthieu Alfaro, Mario Veruete
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On maximal regularity for a class of evolutionary equations
Journal of Mathematical Analysis and Applications, 2017 The issue of so-called maximal regularity is discussed within a Hilbert space framework for a class of evolutionary equations. Viewing evolutionary equations as a sums of two unbounded operators, showing maximal regularity amounts to establishing that the operator sum considered with its natural domain is already closed.
Rainer Picard +2 more
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Time domain analysis of impulse electromagnetic field at the interface of two media
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2021 Background. Ultrashort pulses of electromagnetic field are widely used in construction, archeology and demining, etc., by constructing effective georadars of the underlying surface, but theoretical study of physical processes of irradiation of medium is ...
D. I. Havrylenko +2 more
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