نتایج جستجو برای: semilinear parabolic equation

تعداد نتایج: 247529  

Journal: :Nonlinear Differential Equations and Applications NoDEA 2009

2011
Minh-Binh TRAN

In this paper, we partially answer open questions about the convergence of overlapping Schwarz methods. We prove that overlapping Schwarz methods with Dirichlet transmission conditions for semilinear elliptic and parabolic equations always converge, while overlapping Schwarz methods with Robin transmission conditions only converge for semilinear parabolic equations, but the convergence is not g...

Journal: :Mathematics 2023

We formulate a quasilinear parabolic equation describing the behavior of global-in-time solution to semilinear equation. study this in accordance with blow-up and quenching patterns original This is new theory partial differential equations presents several difficulties for mathematical analysis. Two approaches are examined: functional analysis viscosity solution.

Journal: :Bulletin of the Australian Mathematical Society 1992

Journal: :Rendiconti Lincei - Matematica e Applicazioni 2010

Journal: :Journal of Mathematical Analysis and Applications 1989

2017
D. Kalise K. Kunisch

A procedure for the numerical approximation of high-dimensional Hamilton-JacobiBellman (HJB) equations associated to optimal feedback control problems for semilinear parabolic equations is proposed. Its main ingredients are a pseudospectral collocation approximation of the PDE dynamics, and an iterative method for the nonlinear HJB equation associated to the feedback synthesis. The latter is kn...

Journal: : 2022

Розглянуто нелінійне параболічне рівняння, збурене білим шумом. Доведено існування та єдиність узагальненого розв'язку мішаної задачі для цього рівняння.

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