Results 61 to 70 of about 26,365 (167)

Convergence of Approximate Solutions for Transport-diffusion Equation in the Half-space with Neumann Condition

Известия Иркутского государственного университета: Серия "Математика"
In this paper, we examine the question about the approximation of the solution to a transport-diffusion equation in a half-space with the homogenous Neumann condition.
R. Gherdaoui, S. Selvaduray, H. Fujita Yashima   +2 more
doaj   +1 more source

On Heat Kernel Comparison Theorems

Journal of Functional Analysis, 1999
The authors develop some upper estimates for heat kernels and apply the estimates to obtain Sobolev inequalities. In particular the first estimate, that generalizes various recent similar results, is about a type of manifold in a rank one symmetric space that is of irreducible type.
openaire   +2 more sources

Soliton fermionic number from the heat kernel expansion

European Physical Journal C: Particles and Fields, 2019
We consider different methods of calculating the (fractional) fermion number of solitons based on the heat kernel expansion. We derive a formula for the localized $$\eta $$ η function that provides a more systematic version of the derivative expansion ...
A. Alonso-Izquierdo, Rodrigo Fresneda, J. Mateos Guilarte, D. Vassilevich   +3 more
doaj   +1 more source

Global heat kernel estimates [PDF]

Pacific Journal of Mathematics, 1997
This paper is concerned with gradient estimates and Harnack inequalities for positive solutions on compact Riemannian manifolds \(M\) with boundary. The author defines the ``interior rolling \(R\)-ball'' condition and generalizes results of P. Li and S. T. Yau to the case in which \(M\) has a (possibly nonconvex) boundary satisfying this condition.
openaire   +2 more sources

The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces

Advances in Nonlinear Analysis
In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun, Liu Yu, Li Pengtao, Huang Jizheng   +3 more
doaj   +1 more source

Heat Stress Is More Damaging to Superior Spikelets than Inferiors of Rice (Oryza sativa L.) due to Their Different Organ Temperatures

Frontiers in Plant Science, 2016
In general, the fertility and kernel weight of inferior spikelets of rice (Oryza Sativa L.) are obviously lower than those of superior spikelets, especially under abiotic stress.
Guanfu Fu, Baohua Feng, Caixia Zhang, Yongjie Yang, Xueqin Yang, Tingting Chen, Xia Zhao, Xiufu Zhang, Qianyu Jin, Longxing Tao   +9 more
doaj   +1 more source

Numerical Solutions to Fractional Perturbed Volterra Equations

Abstract and Applied Analysis, 2012
In the paper, a class of perturbed Volterra equations of convolution type with three kernel functions is considered. The kernel functions , , , correspond to the class of equations interpolating heat and wave equations.
B. Bandrowski, A. Karczewska, P. Rozmej
doaj   +1 more source

Fast Polynomial Approximation of Heat Kernel Convolution on Manifolds and Its Application to Brain Sulcal and Gyral Graph Pattern Analysis. [PDF]

IEEE Trans Med Imaging, 2020
Huang SG, Lyu I, Qiu A, Chung MK.
europepmc   +1 more source

Neumann Heat kernel monotonicity

, 2007
We prove that the diagonal of the transition probabilities for the d-dimensional Bessel processes on (0, 1], reflected at 1, which we denote by $p_R^N(t, r,r)$, is an increasing function of r for d>2 and that this is false for d=2.
Bañuelos, R., Kulczycki, T., Siudeja, B.   +2 more
openaire   +2 more sources

Subordinated Bessel heat kernels

Theory of Probability and Mathematical Statistics
We prove new bounds for Bessel heat kernels and Bessel heat kernels subordinated by stable subordinators. In particular, we provide 3G inequalities in the subordinated case.
Bogdan, Krzysztof, Merz, Konstantin
openaire   +3 more sources