Results 61 to 70 of about 2,669 (149)

Gaussian bounds for the Dirichlet heat kernel

Journal of Functional Analysis, 1990
The author uses the semigroup property of the heat kernel associated with the Dirichlet Laplacian to establish a pointwise Gaussian lower bound for this kernel in an open set in m-dimensional space.
openaire   +2 more sources

Heat kernel estimates for the Dirichlet fractional Laplacian

Journal of the European Mathematical Society, 2010
In this paper, we consider the fractional Laplacian -(-Δ)^{α/2} on an open subset in ℝ^d with zero exterior condition. We establish sharp two-sided estimates for the
Zhen-Qing Chen, Panki Kim, Renming Song
openaire   +2 more sources

A pseudo−operational collocation method for optimal control problems of fractal−fractional nonlinear Ginzburg−Landau equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The presented work introduces a new class of nonlinear optimal control problems in two dimensions whose constraints are nonlinear Ginzburg−Landau equations with fractal−fractional (FF) derivatives. To acquire their ap-proximate solutions, a computational
T. Shojaeizadeh, E. Golpar-Raboky, Parisa Rahimkhani   +2 more
doaj   +1 more source

A Riemannian-Geometry Approach for Modeling and Control of Dynamics of Object Manipulation under Constraints

Journal of Robotics, 2009
A Riemannian-geometry approach for modeling and control of dynamics of object manipulation under holonomic or non-holonomic constraints is presented.
Suguru Arimoto, Morio Yoshida, Masahiro Sekimoto, Kenji Tahara   +3 more
doaj   +1 more source

The Boundary Behavior of Heat Kernels of Dirichlet Laplacians

Journal of Differential Equations, 2002
It is obtained qualitative sharp description of heat kernel \(G\) of Dirichlet Laplacian on bounded \(C^{1,1}\) domain \(D.\) There exists positive constants \(c_1, c_2\) such that, for \(\rho(x)=\text{dist}(x,\partial D)\) \[ \left[{\rho(x)\rho(y)\over t}\wedge 1\right]{c_1\over t^{n/2} } e^{-c_2|x-y|^2/t} \leq G(x,t;y,0)\leq \left[{\rho(x)\rho(y ...
openaire   +2 more sources

Tricomi problem and integral equations

Учёные записки Казанского университета: Серия Физико-математические науки
Formulas for inverting integral equations that arise when studying the Tricomi problem for the Lavrentyev–Bitsadze equation were derived. Solvability conditions of an auxiliary overdetermined problem in the elliptic part of the mixed domain were found ...
N. B. Pleshchinskii
doaj   +1 more source

On Fourier Series of Fuzzy-Valued Functions

The Scientific World Journal, 2014
Fourier analysis is a powerful tool for many problems, and especially for solving various differential equations of interest in science and engineering.
Uğur Kadak, Feyzi Başar
doaj   +1 more source

Heat-Semigroup-Based Besov Capacity on Dirichlet Spaces and Its Applications

Mathematics
In this paper, we investigate the Besov space and the Besov capacity and obtain several important capacitary inequalities in a strictly local Dirichlet space, which satisfies the doubling condition and the weak Bakry–Émery condition.
Xiangyun Xie, Haihui Wang, Yu Liu
doaj   +1 more source

Exponential growth of positive initial energy for a system of higher-order viscoelastic wave equations with variable exponents

Journal of Inequalities and Applications
This work addresses a value problem concerning a system of high-order nonlinear equations with viscoelastic terms acting in both equations and homogeneous Dirichlet conditions.
Amar Ouaoua, Wissem Boughamsa, Salah Boulaaras   +2 more
doaj   +1 more source

Dirichlet process cluster kernel

, 2017
This thesis aims to apply the Dirichlet process mixture model to the cluster kernel framework. The probabilistic cluster kernel is extended with a Bayesian nonparametric model to avoid critical parameters within the model. The Dirichlet process cluster kernel demonstrate advantages compared to the probabilistic cluster kernel in both classification and
openaire   +1 more source