Results 1 to 10 of about 44 (44)

On a class of abstract degenerate parabolic equations

Differential and Integral Equations, 1990
exaly  

A generalized $H^{\infty}$ functional calculus for operators on subspaces of $L^{p}$ and application to maximal regularity

Illinois Journal of Mathematics, 1998
exaly  

Bounded solutions for abstract time-periodic parabolic equations with nonconstant domains

Differential and Integral Equations, 1991
exaly  

Solutions in $L^p$ of abstract parabolic equations in Hilbert spaces

Kyoto Journal of Mathematics, 1993
exaly  

Solvability of the abstract evolution equations in Ls-spaces with critical temporal weights

Open Mathematics, 2021
This paper deals with the abstract evolution equations in Ls{L}^{s}-spaces with critical temporal weights. First, embedding and interpolation properties of the critical Ls{L}^{s}-spaces with different exponents ss are investigated, then solvability of ...
Zhang Qinghua, Tan Zhizhong
doaj   +1 more source

Estimates for evolutionary partial differential equations in classical function spaces

Forum of Mathematics, Sigma, 2023
We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach, Madi Yerlanov   +3 more
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis

Open Mathematics, 2020
Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
doaj   +1 more source

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one

Open Mathematics, 2019
It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
doaj   +1 more source

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis

Open Mathematics, 2019
Given the abstract evolution ...
Markin Marat V.
doaj   +1 more source

Applications of Stochastic Semigroups to Queueing Models

Annales Mathematicae Silesianae, 2019
Non-markovian queueing systems can be extended to piecewise-deterministic Markov processes by appending supplementary variables to the system. Then their analysis leads to an infinite system of partial differential equations with an infinite number of ...
Gwiżdż Piotr
doaj   +1 more source