Identification of a Source Term in a Semilinear Evolution Delay Equation
نویسندگان
چکیده
منابع مشابه
Stable Identification of a Semilinear Term in a Parabolic Equation
We consider a semilinear parabolic equation in a rectangular domain Ω ⊂ R: (∂tu)(x, t) = ∆u(x, t) + a(u(x, t)) with the zero initial value and suitable Dirichlet data. We discuss an inverse problem of determining the nonlinear term a(·) from Neumann data ∂u ∂n on ∂Ω × (0, T ). Under appropriate Dirichlet data, we prove conditional stability of the Hölder type in this inverse problem within a su...
متن کاملThe Semilinear Heat Equation with a Heaviside Source Term
We consider the initial value problem for the equation u t = u xx +H(u), where H is the Heaviside graph, on a bounded interval with Dirichlet boundary conditions, and discuss existence, regularity and uniqueness of solutions and interfaces .
متن کاملOn source identification problem for a delay parabolic equation∗
Delay parabolic equations (DPEs) have important applications in a wide range of applications such as physics, chemistry, biology and ecology and other fields. For example, diffusion problems where the current state depends upon an earlier one give rise to parabolic equations with delay. In mathematical modeling, DPEs are used together with boundary conditions specifying the solution on the boun...
متن کاملIdentification Problem of Source Term of A Reaction Diffusion Equation
This paper will give the numerical difference scheme with Dirichlet boundary condition, and prove stability and convergence of the difference scheme, final numerical experiment results also confirm effectiveness of the algorithm. KeywordsFractional derivative; Numerical difference scheme; The gradient regularization method.
متن کاملThe geometric properties of a degenerate parabolic equation with periodic source term
In this paper, we discuss the geometric properties of solution and lower bound estimate of ∆um−1 of the Cauchy problem for a degenerate parabolic equation with periodic source term ut =∆um+ upsint. Our objective is to show that: (1)with continuous variation of time t, the surface ϕ = [u(x,t)]mδq is a complete Riemannian manifold floating in space RN+1and is tangent to the space RN at ∂H0(t); (2...
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: Annals of the Alexandru Ioan Cuza University - Mathematics
سال: 2015
ISSN: 1221-8421
DOI: 10.2478/aicu-2013-0003