as the employed basis functions used to construct the absorbing boundary condition are residual-free, it requires neither any differential operator (to approximate the wave dispersion relation), nor any auxiliary variables; it constructs Dirichlet-type ABCs and hence no derivatives of the field variable...
You H, Lu X, Task N, Yu Y (2020) An asymptotically compatible approach for neumann-type boundary condition on nonlocal problems. ESAIM: Mathematical Modelling and Numerical Analysis 54(4):1373–1413 Fan Y, Tian X, Yang X, Li X, Webster C, Yu Y (2021) An asymptotically compatible proba...
In the present paper, we prove the existence and uniqueness result of weak solutions to a class of fractional p(x)-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the theory of fractional Sobolev spaces with variable exponen...
aAlso, if we want to see numerically how a given difference scheme propagates an initial condition, with any type of Dirichlet boundary conditions we have to make the domain big (as large as it needs to be for the time interval that we want to consider) and carefully plot the regions wh...
In this paper, we derive C 2 estimates for a class of mixed Hessian type equations with Dirichlet boundary condition, and obtain the existence theorem of admissible solutions for the classical Dirichlet problem of these mixed Hessian type equations. Mathematical Subject Classication (2010): Primary ...
A New Boundary Rigidity Theorem for Holomorphic Self-Mappings of the Unit Ball in C-n In this paper, we give some new boundary rigidity Liu,Taishun,Tang,... - 《Pure & Applied Mathematics Quarterly》 被引量: 2发表: 2015年 A note on cyclic vectors in Dirichlet-type spaces in the unit...
The paper considers the heat kernel KΩ(t, x, y) of the operator –Δ on a proper Euclidean domain Ω, with Dirichlet boundary conditions. A general pointwise lower bound for KΩ, which is valid for t larger than a suitable t0(x,y), is proved (the short-time behaviour being well ...
G.: Explicit recurrence criteria for symmetric gradient type Dirichlet forms satisfying a Hamza type condition - Gim, TrutnauGim M., Trutnau G.: Explicit recurrence criteria for symmetric gradient type Dirichlet forms satisfying a Hamza type condition. Mathematical Reports. Volume 15(65). No.4. ...
We give a simple proof of a lower bound for the Dirichlet heat kernel in terms of the Gaussian heat kernel. Using this we establish a non-existence result for semilinear heat equations with zero Dirichlet boundary conditions and initial data in $L^q(\Omega)$ when the source term $f$ is...
Lyapunov Inequality for a Boundary Value Problem Involving Conformable Derivative We consider a boundary value problem involving conformable derivative of order $\\alpha ,$ $1<\\alpha <2$ and Dirichlet conditions. To prove the existence ... R Khaldi,A Guezane-Lakoud - 《Progress in Fractional...