output
20022026
most citedThe Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package

7.7k citations

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10 papers · 1 filter

math.AP2024★ 1 cited

Symmetry of bounded solutions to quasilinear elliptic equations in a half-space

Phuong Le

Let be a bounded positive solution to the problem in with zero Dirichlet boundary condition, where and is a locally Lipschitz continu…

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.AP2016

Continuity of solutions of a class of fractional equations

Duc Trong Dang, Erkan Nane, Dang Minh Nguyen +1

In practice many problems related to space/time fractional equations depend on fractional parameters. But these fractional parameters are not known a priori in modelling problems.…

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.AP2011

The body force in a three-dimensional Lame' system: identification and regularization

Dang Duc Trong, Phan Thanh Nam, Phung Trong Thuc

Let a three-dimensional isotropic elastic body be described by the Lamé system with the body force of the form , where is known. We consider the problem of det…

math.AP2010

On a nonlinear heat equation associated with Dirichlet -- Robin conditions

Le Thi Phuong Ngoc, Nguyen Van Y, Alain Pham Ngoc Dinh +1

This paper is devoted to the study of a nonlinear heat equation associated with Dirichlet-Robin conditions. At first, we use the Faedo -- Galerkin and the compactness method to pro…

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…

math.AP2007★ 6 cited

The Riemann problem for the shallow water equations with discontinuous topography

Philippe G. LeFloch, Mai-Duc Thanh

We construct the solution of the Riemann problem for the shallow water equations with discontinuous topography. The system under consideration is non-strictly hyperbolic and does n…

math.AP2007★ 8 cited

Laguerre polynomials and the inverse Laplace transform using discrete data

Tran Ngoc Lien, Dang Duc Trong, Alain Pham Ngoc Dinh

We consider the problem of finding a function defined on from a countable set of values of its Laplace transform. The problem is severely ill-posed. We shall use the e…