Results 21 to 30 of about 215 (160)
Semigroups generated by first order differential operators
Bruno Pini Mathematical Analysis SeminarThe differentiation operator in a space of continuous or $L^p$ functions defined on an interval generates a translation semigroup. Here we illustrate the generalization of this result to general first-order operators, possibly singular.
Giovanni Dore
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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Stability of strongly continuous representations of abelian semigroups
Mathematische Zeitschrift, 1992 We study the spectrum Sp(T) of a bounded, strongly continuous, representation T of a suitable Abelian semigroup S on a Banach space X. In particular, we consider the case when the unitary part of Sp(T) is countable (or scattered) and the unitary part of the point spectrum of \(T^*\) is empty.
Batty, Charles J.K., Phóng, Vu Quoc
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
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On the construction of the square root for some differential operators
Современная математика: Фундаментальные направленияUsing the Balakrishnan-Yosida approach to constructing fractional powers of linear operators in a Banach space by means of strongly continuous semigroups with densely defined generating operators, in this paper, a similar scheme is presented for ...
V. A. Kostin +2 more
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𝐶²-preserving strongly continuous Markovian semigroups [PDF]
Transactions of the American Mathematical Society, 1973 Let X X be a compact
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Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Regularization of semigroups that are strongly continuous for 𝑡>0 [PDF]
Proceedings of the American Mathematical Society, 1998 Let E E be a Banach space and
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