搜索结果: 1-11 共查到“偏微分方程 Second-Order”相关记录11条 . 查询时间(0.129 秒)
The Harnack inequality for second-order elliptic equations with divergence-free drifts
Harnack inequality second-order elliptic equations divergence-free drifts
2015/7/14
We consider an elliptic equation with a divergence-free drift b. We prove that an inequality of Harnack type holds under the assumption b ∈ Ln/2+δ ∩ L2 where δ > 0. As an application we provide a one ...
First-order SODE: OU processdX+aX(t)dt= dW(t)
Three options:a >0, a= 0, a <0.
First-order SPDE:du= au
xx dt+dW(t, x)
One option:a >0(Infinite-dimensional stable OU process.)
Second-order SODE:X¨ ...
The quenching phenomena for second-order nonlinear parabolic equation with nonlinear source
Parabolic equation Quenching phenomena Unbounded domain
2011/10/15
In this paper, we investigate the quenching phenomena of the Cauchy problem for the second-order nonlinear parabolic equation on unbounded domain. It is shown that the solution quenches in finite time...
An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities
Interior Gradient Estimate class of Second Order Partial Differential Inequalities
2011/2/22
In this paper, we show a uniform gradient estimate for functions u defined on a domain
in Euclidian space RN which satisfy a system of N second order partial differential inequalities of the followi...
Initial-boundary value problems for second order systems of partial differential equations
Initial-boundary value problems second order systems of partial differential equations
2011/1/18
We develop a well-posedness theory for second order systems in bounded domains where
boundary phenomena like glancing and surface waves play an important role. Attempts have previ-
ously been made t...
On non-local reflection for elliptic equations of the second order in R^2 (the Dirichlet condition)
elliptic equations the second order in R^2 (the Dirichlet condition)
2010/12/1
Point-to-point re
ection holding for harmonic functions subject to the Dirichlet or Neumann conditions on an analytic curve in the plane almost always fails for solutions to more general elliptic equ...
Hôlder continuity of solutions of second-order non-linear elliptic integro-differential equations
H¨older regularity integro-differential equations L´ evy operators general non-local operators
2010/11/29
This paper is concerned with H¨older regularity of viscosity solutions of second-order, fully
non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we ass...
Line integration and second order partial differential equations over Cayley-Dickson algebras
Line integration second order partial differential equations Cayley-Dickson algebras
2010/12/3
Line integration of generalized functions is studied. Second or-der partial differential equations with piecewise continuous and gen-eralized variable coefficients over Cayley-Dickson algebras are inv...
Oscillation of Second Order Nonlinear Delay Damped Difference Equations
oscillation second-order difference equations Riccati techniques
2007/12/11
Some new oscillation criteria for nonlinear delay difference equation with damping $$ \Delta ^{2}x_{n}+p_{n}\Delta x_{n}+F(n,x_{n-\tau },\Delta x_{n-\sigma })=0,\ \ \ \ n=0,1,2,\ldots ,\eqno{(*)} $$ a...
On the Boundary Behaviour, Including Second Order Effects, of Solutions to Singular Elliptic Problems
elliptic problems singular equations boundary behaviour
2007/12/11
For $\gamma\ge 1$ we consider the solution $u=u(x)$ of the Dirichlet boundary value problem $\Delta u+u^{-\gamma}=0$ in $\Omega$, $u=0$ on $\partial\Omega$. For $\gamma=1$ we find the estimate $$u(x)=...
Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping
Oscillation averaging damping Riccati substitution second order
2010/3/1
Oscillation criteria are given for second order nonlinear differential equations with damping of the form (a(t) y (x ) \dot x)\dot{}+ p(t) \dot x + q (t) f (x ) = 0,\quad t\geq t0, where p and q are a...