Results 41 to 50 of about 101,397 (323)
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
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 +16 more
core +1 more source
Strongly regular graphs with maximal energy [PDF]
Linear Algebra and its Applications, 2007 AbstractThe energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. Koolen and Moulton have proved that the energy of a graph on n vertices is at most n(1+n)/2, and that equality holds if and only if the graph is strongly regular with parameters (n,(n+n)/2,(n+2n)/4,(n+2n)/4).
openaire +7 more sources
Each regular code is included in a maximal regular code [PDF]
RAIRO - Theoretical Informatics and Applications, 1986 It is proved here that each regular code is included in a maximal regular code. Other concepts of codes related to maximality are involved. The main result solves a long standing open problem in the theory of formal languages and combinatorial semigroup theory.
Grzegorz Rozenberg, Andrzej Ehrenfeucht
openaire +3 more sources
Molecular Oncology, EarlyView.Cotargeting EGFR and STAT3 with Erlotinib and TTI‐101 impairs both 2D and 3D growth of ETV1‐overexpressing prostate cancer cells by disrupting a self‐sustaining ETV1–EGFR positive feedback loop that promotes EGFR and STAT3 expression and phosphorylation (activation).
Elsa Gomes Paiva +5 more
wiley +1 more source
Maximal triangulations of a regular prism
Journal of Combinatorial Theory, Series A, 2004 In this paper, we resolve two conjectures of De Loera, Santos, and Takeuchi in the affirmative, computing the maximal size of any regular triangulation of the $n$-prism and $n$-antiprism.
openaire +3 more sources
Continuous maximal regularity on uniformly regular Riemannian manifolds [PDF]
Journal of Evolution Equations, 2014 We establish continuous maximal regularity results for parabolic differential operators acting on sections of tensor bundles on Riemannian manifolds. As an application, we show that solutions to the Yamabe flow instantaneously regularize and become real analytic in space and time.
Yuanzhen Shao, Gieri Simonett
openaire +3 more sources
Molecular Oncology, EarlyView.Small extracellular vesicles are a promising source of diagnostic molecules. We conducted a comprehensive study, including transcriptome profiling and RT‐qPCR validation on large cohorts of samples. Diagnostic panels enabling sensitive detection of colorectal cancer and precancerous lesions were established. Some molecules were differentially expressed
Petra Vychytilova‐Faltejskova +26 more
wiley +1 more source
Mathematics in EngineeringWe extend the Virtual Element Method to a two-dimensional unsteady nonlinear convection-diffusion equation characterized by a fractional-order derivative with respect to the time variable.
Zaffar Mehdi Dar +4 more
doaj +1 more source