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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Liouville theorems for superlinear parabolic problems
超线性 抛物线问题 刘维尔定理
2023/4/21
We first consider positive classical solutions to a semilinear heat equation and discuss the associated Liouville-type theorems and their consequences on a priori estimates of solutions (in particular...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Liouville theorems for superlinear parabolic problems
超线性 抛物线问题 刘维尔定理
2023/4/23
We first consider positive classical solutions to a semilinear heat equation and discuss the associated Liouville-type theorems and their consequences on a priori estimates of solutions (in particular...
ELLIPTIC RECONSTRUCTION AND A POSTERIORI ERROR ESTIMATES FOR PARABOLIC PROBLEMS
A posteriori error estimators fi nite elements semidiscrete parabolic problems
2015/12/11
It is known that the energy technique for a posteriori error analysis
of finite element discretizations of parabolic problems yields suboptimal rates
in the norm L1(0; T;L2
(Ω)): In thi...
Cascadic Multigrid Methods For Parabolic Problems
Cascadic multigrid method parabolic problem element methods backwardEuler scheme smoother stability optimal error order optimal complexity
2012/8/8
In this paper, we consider the cascadic multigrid method for a parabolic type equa-
tion. Backward Euler approximation in time and linear 痭ite element approximation in space are
employed. A stabilit...
Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems
Quasilinear parabolic equations normally stable normally hyper-bolic invariant foliations free boundary problems symmetry
2012/6/21
We consider quasilinear parabolic evolution equations in the situation where the set of equilibria forms a finite-dimensional C^1-manifold which is normally hyperbolic. The existence of foliations of ...
Carleman Estimate for Stochastic Parabolic Equations and Inverse Stochastic Parabolic Problems
Stochastic parabolic equations Carleman estimate conditional stability inverse source problem
2011/9/22
Abstract: In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we solve two inverse problems for stochastic parabolic equations. One is co...
Application of variational iteration method to parabolic problems
partial differential equation one dimensional nonhomogeneous parabolic equations
2010/9/13
In this paper, the solutions of the one dimensional non-homogeneous parabolic equations with a variable coefficient are obtained by means of variational iteration method (VIM). The results reveal that...
Stabilization of solutions to unidimensional nonlinear parabolic problems
Stabilization solutions unidimensional
2010/9/15
We begin by describing the set E(L) of nonnegative equilibrium solutions to the motivating example, which consists of problem (P) with the special choice f(u) = u(1 − u)(u − a) and 0 < a <...
The multigrid algorithm in [13] is developed for solving nonlinear parabolic equations arising from the finite element discretization. The computational cost of the algorithm is approximate $O(N_kN)$ ...