Results 11 to 20 of about 2,551,566 (242)
A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model [PDF]
The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models that involve gradients of the strain field means that the $C^0$ continuity
G. N. Wells +2 more
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Gradient estimate of a Poisson equation under the almost Ricci solitons
In this paper, we consider an n-dimensional manifold M n $M^{n}$ endowed with an almost Bakry–Émery Ricci curvature and study a special case of gradient estimate for the positive solutions of Δ u − X . u = f $\Delta u-X.u=f$ , for a smooth function f and
Sakineh Hajiaghasi, Shahroud Azami
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Harnack inequalities for nonlinear parabolic equations under integral ricci curvature bounds [PDF]
This work is devoted to the study of gradient estimates and Harnack inequalities for positive solutions to a class of nonlinear parabolic equations on compact Riemannian manifolds under integral Ricci curvature bounds.
Shahroud Azami, Mehdi Jafari
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A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]
In this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
doaj +1 more source
Interior gradient estimate for 1-D anisotropic curvature flow [PDF]
We establish the interior gradient estimate for general 1-D anisotropic curvature flow.
Tonegawa, Yoshihiro, Nagase, Yuko
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Given the recent developments in quantum techniques, modeling the physical Hamiltonian of a target quantum many-body system is becoming an increasingly practical and vital research direction.
Tian-Lun Zhao, Shi-Xin Hu, Yi Zhang
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Gradient-based approximation performance.
(A) Summary results from tuning of β hyperparameter for MDIG alongside baseline methods. The intra-replicate agreement according to Pearson correlation of each gradient-based approximation with ISM is summarized using the median across transcripts as a ...
Joseph D. Valencia (17138419) +1 more
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Gradient estimates for the fundamental solution of Lévy type operator
We prove a gradient estimate and the Hölder continuity of the gradient for the fundamental solution of a class of α-stable type operators with α ∈ (0, 1), which improve known results in the literature where the condition α > 1/2 is commonly assumed.
Liu Wei, Song Renming, Xie Longjie
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In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ...
Attouchi, Amal
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Blow-up time estimate for porous-medium problems with gradient terms under Robin boundary conditions
This paper deals with the blow-up phenomena connected to the following porous-medium problem with gradient terms under Robin boundary conditions: { u t = Δ u m + k 1 u p − k 2 | ∇ u | q in Ω × ( 0 , t ∗ ) , ∂ u ∂ ν + γ u = 0 on ∂ Ω × ( 0 , t ∗ ) , u ...
Xuhui Shen
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