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20082026
most citedAnabranch Network for Camouflaged Object Segmentation

753 citations

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9 papers · 1 filter

math.AP2017

Nonlocal dispersal equations in time-periodic media: principal spectral theory, bifurcation and asymptotic behaviors

Hoang-Hung Vo, Zhongwei Shen

This paper is devoted to the investigation of the following nonlocal dispersal equation $$ u_{t}(t,x)=\frac{D}{σ^m}\left[\int_ΩJ_σ(x-y)u(t,y)dy-u(t,x)\right]+f(t,x,u(t,x)), \quad t…

math.AP2015★ 33 cited

The Cauchy problem of coupled elliptic sine-Gordon equations with noise: Analysis of a general kernel-based regularization and reliable tools of computing

Vo Anh Khoa, Mai Thanh Nhat Truong, Nguyen Ho Minh Duy +1

Developments in numerical methods for problems governed by nonlinear partial differential equations underpin simulations with sound arguments in diverse areas of science and engine…

math.AP2014★ 1 cited

On the regularization of solution of an inverse ultraparabolic equation associated with perturbed final data

Vo Anh Khoa, Le Trong Lan, Nguyen Huy Tuan +1

In this paper, we study the inverse problem for a class of abstract ultraparabolic equations which is well-known to be ill-posed. We employ some elementary results of semi-group th…

math.AP2014

A numerical approach to approximation for an ultraparabolic equation

Vo Anh Khoa, Le Trong Lan, Nguyen Thi Yen Ngoc +1

We study the following ultraparabolic equation \[ \frac{\partial}{\partial t}u\left(t,s\right)+\frac{\partial}{\partial s}u\left(t,s\right)+\mathcal{L}u\left(t,s\right)=f\left(u\le…

math.AP2014★ 14 cited

Approximation of mild solutions of the linear and nonlinear elliptic equations

Nguyen Huy Tuan, Dang Duc Trong, Le Duc Thang +1

In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u…

math.AP2009

A new stability results for the backward heat equation

Alain Pham Ngoc Dinh, Dang Duc Trong, Pham Hoang Quan +1

In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained. Meanwhile, some quite sharp…

math.AP2008

Determine the source term of a two-dimensional heat equation

Dang Duc Trong, Truong Trung Tuyen, Phan Thanh Nam +1

Let be a two-dimensional heat conduction body. We consider the problem of determining the heat source with be given inexactly and be unknown. The pr…

math.AP2008

Ice formation in the Arctic during summer: false-bottoms

Phan Thanh Nam, Alain Pham Ngoc Dinh, Pham Hoang Quan +1

The only source of ice formation in the Arctic during summer is a layer of ice called false-bottoms between an under-ice melt pond and the underlying ocean. Of interest is to give…

math.AP2008

The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions

Le Xuan Truong, Le Thi Phuong Ngoc, Alain Pham Ngoc Dinh +1

This paper is concerned with the existence and the regularity of global solutions to the linear wave equation associated with two-point type boundary conditions. We also investigat…