Results 41 to 50 of about 103,524 (321)

Time Fractional Derivatives and Evolution Equations

Bruno Pini Mathematical Analysis Seminar, 2017
In this seminar we introduce the fractional derivatives of Riemann-Liouville and Caputo, with some of their main properties. We conclude by illustrating certain results of maximal regularity for mixed initial-boundary value problems, evolving them.
Davide Guidetti
doaj   +1 more source

Regularity for commutators of the local multilinear fractional maximal operators

Advances in Nonlinear Analysis, 2020
In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
doaj   +1 more source

Maximal Solutions of Sparse Analysis Regularization [PDF]

Journal of Optimization Theory and Applications, 2018
This paper deals with the non-uniqueness of the solutions of an analysis-Lasso regularization. Most of previous works in this area is concerned with the case where the solution set is a singleton, or to derive guarantees to enforce uniqueness. Our main contribution consists in providing a geometrical interpretation of a solution with a maximal D ...
Barbara, Abdessamad, Jourani, Abderrahim, Vaiter, Samuel   +2 more
openaire   +4 more sources

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

FEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka, Yuxi Liu, Stefano Maggi, Debnath Ghosal, Jue Wang, Prashant P. Damke, Stephen D. Carter, Wei Zhao, Sukhithasri Vijayrajratnam, Joseph P. Vogel, Carrie L. Shaffer, Grant J. Jensen   +11 more
wiley   +1 more source

Maximal regularity for non-autonomous Cauchy problems in weighted spaces

Electronic Journal of Differential Equations, 2020
We consider the regularity for the non-autonomous Cauchy problem $$ u'(t) + A(t) u(t) = f(t)\quad (t \in [0, \tau]), \quad u(0) = u_0. $$ The time dependent operator A(t) is associated with (time dependent) sesquilinear forms on a Hilbert space ...
Achache Mahdi, Tebbani Hossni
doaj  

Local regularity for fractional heat equations

, 2017
We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbitrary bounded open set $\Omega\subset\mathbb{R}^N$.
D Lamberton, E Fernández-Cara, E Stein, G Grubb, Haim Brezis, Hans Triebel, L Miller, LC Evans, M Kassmann, OA Ladyzhenskaya, P Grisvard, S Micu, T Leonori, U Biccari, U Biccari, X Fernández-Real, X Ros-Oton   +16 more
core   +1 more source

Cell surface interactome analysis identifies TSPAN4 as a negative regulator of PD‐L1 in melanoma

Molecular Oncology, EarlyView.
Using cell surface proximity biotinylation, we identified tetraspanin TSPAN4 within the PD‐L1 interactome of melanoma cells. TSPAN4 negatively regulates PD‐L1 expression and lateral mobility by limiting its interaction with CMTM6 and promoting PD‐L1 degradation.
Guus A. Franken, Andrea Abel Gutierrez, Imke van Rossum, Cornelia G. Spruijt, Michiel Vermeulen, Guido van Mierlo, Blanca Scheijen, Annemiek B. van Spriel   +7 more
wiley   +1 more source

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

Maximal orders over regular local rings [PDF]

Transactions of the American Mathematical Society, 1971
In this paper various sufficient conditions are given for the maximality of an R-order in a finite-dimensional central simple K-algebra, where R is a regular local ring whose quotient field is K. Stronger results are obtained when we assume the dimension of R to be three. This work depends upon earlier results of this author [5] for regular local rings
openaire   +1 more source