Results 21 to 30 of about 98,184 (227)

Approximation by mean of the function given by dirichlet series by absolutely convergent Dirichlet series

Nonlinear Analysis, 1998
It is proved an uniform on compact sets approximation by mean of the general Dirichlet series.
A. Laurinčikas
doaj   +1 more source

Bohr's equivalence relation in the space of Besicovitch almost periodic functions [PDF]

, 2018
Based on Bohr's equivalence relation which was established for general Dirichlet series, in this paper we introduce a new equivalence relation on the space of almost periodic functions in the sense of Besicovitch, $B(\mathbb{R},\mathbb{C})$, defined in ...
Sepulcre, J. M., Vidal, T.
core   +3 more sources

Volterra operators on Hardy spaces of Dirichlet series [PDF]

, 2016
For a Dirichlet series symbol g(s)=∑n≥1bnn−s, the associated Volterra operator Tg acting on a Dirichlet series f(s)=∑n≥1ann−s is defined by the integral f↦−∫+∞sf(w)g′(w)dw.
Brevig, Ole Fredrik, Perfekt, Karl-Mikael, Seip, Kristian   +2 more
core   +2 more sources

Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates

, 2021
With a view toward fractal spaces, by using a Korevaar-Schoen space approach, we introduce the class of bounded variation (BV) functions in a general framework of strongly local Dirichlet spaces with a heat kernel satisfying sub-Gaussian estimates. Under
Alonso-Ruiz, Patricia, Baudoin, Fabrice, Chen, Li, Rogers, Luke, Shanmugalingam, Nageswari, Teplyaev, Alexander   +5 more
core   +1 more source

MULTIFRACTAL PHENOMENA AND PACKING DIMENSION [PDF]

, 2016
We undertake a general study of multifractal phenomena for functions. We show that the existence of several kinds of multifractal functions can be easily deduced from an abstract statement, leading to new results.
Bayart, Frédéric, Heurteaux, Yanick
core   +4 more sources

A Faber-Krahn-type Inequality for Regular Trees [PDF]

, 1996
In the last years some results for the Laplacian on manifolds have been shown to hold also for the graph Laplacian, e.g. Courant's nodal domain theorem or Cheeger's inequality.
Leydold, Josef
core   +2 more sources

Asymptotic series solution of variational stokes problems in planar domain with crack-like singularity

Applied Mathematics in Science and Engineering, 2022
A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered.
Victor A. Kovtunenko, Kohji Ohtsuka
doaj   +1 more source

An Analytic Solution for 2D Heat Conduction Problems with General Dirichlet Boundary Conditions

Axioms, 2023
This paper proposed a closed-form solution for the 2D transient heat conduction in a rectangular cross-section of an infinite bar with the general Dirichlet boundary conditions.
Heng-Pin Hsu, Te-Wen Tu, Jer-Rong Chang
doaj   +1 more source

Novel numerical method based on cubic B-splines for a class of nonlinear generalized telegraph equations in irregular domains

Alexandria Engineering Journal, 2020
In this work, a cubic B-spline method based on finite difference and meshless approaches for solving 2D generalized telegraph equations in irregular single and multi-connected domains is presented.
Sergiy Reutskiy, Yuhui Zhang, Ji Lin, Hongguang Sun   +3 more
doaj   +1 more source

Nonlinear stochastic wave equations in 1D with fractional Laplacian, power-law nonlinearity and additive Q-regular noise

Results in Applied Mathematics, 2023
A qualitative study of nonlinear, 1D stochastic fractional wave equations with dissipative nonlinearities of power-law form is conducted on (t,x)∈[0,+∞)×D utt+σ2(−uxx)α−a1u+a2‖u‖L2(D)ρu−κut=b0∂W0∂t on (t,x)∈[0,+∞)×D with D=[0,L], where positive ...
Henri Schurz
doaj   +1 more source