Superdiffusions and Parabolic Nonlinear Differential Equations
نویسندگان
چکیده
منابع مشابه
Superdiffusions and positive solutions of nonlinear partial differential equations
where L is an elliptic differential operator of the second order, E is a bounded smooth 1 domain in R and ψ is a continuously differentiable positive function. Our goal is to describe the set U of all positive solutions of this equation. We say that an element u of U is moderate if u ≤ h for some h such that Lh = 0 in E. We say that u is σ-moderate if it is the limit of an increasing sequence o...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
A New Inequality for Superdiffusions and Its Applications to Nonlinear Differential Equations
Our motivation is the following problem: to describe all positive solutions of a semilinear elliptic equation Lu = uα with α > 1 in a bounded smooth domain E ⊂ Rd. In 1998 Dynkin and Kuznetsov solved this problem for a class of solutions which they called σ-moderate. The question if all solutions belong to this class remained open. In 2002 Mselati proved that this is true for the equation ∆u = ...
متن کاملModel Predictive Control for Nonlinear Parabolic Partial Differential Equations
In this study, the optimal control problem of nonlinear parabolic partial differential equations (PDEs) is investigated. Optimal control of nonlinear PDEs is an open problem with applications that include fluid, thermal, biological, and chemically-reacting systems. Model predictive control with a fast numerical solution method has been well established to solve the optimal control problem of no...
متن کاملfor parabolic partial differential equations
number of iterationsrequired to meet the convergencecriterion. the converged solutions from the previous step. This significantly reduces the interfacial boundaries, the initial estimates for the interfacial flux is given from scheme. Outside of the first time step where zero initial flux is assumed on all between subdomains are satisfied using a Schwarz Neumann-Neumam iteration method which is...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1992
ISSN: 0091-1798
DOI: 10.1214/aop/1176989812