Overdetermined Neumann boundary value problem in unbounded domains
نویسندگان
چکیده
منابع مشابه
Remarks on an overdetermined boundary value problem
We modify and extend proofs of Serrin’s symmetry result for overdetermined boundary value problems from the Laplace-operator to a general quasilinear operator and remove a strong ellipticity assumption in [9] and a growth assumption in [5] on the diffusion coefficient A, as well as a starshapedness assumption on Ω in [4]. Mathematics Subject Classification (2000). 35J65, 35B35
متن کاملOverdetermined Boundary Value Problems, Quadrature Domains and Applications
We discuss an overdetermined problem in planar multiply connected domains Ω. This problem is solvable in Ω if and only if Ω is a quadrature domain carrying a solid-contour quadrature identity for analytic functions. At the same time the existence of such quadrature identity is equivalent to the solvability of a special boundary value problem for analytic functions. We give a complete solution o...
متن کاملOn an Eighth Order Overdetermined Elliptic Boundary Value Problem
We consider the overdetermined boundary value problem for the 4-harmonic operator, Δ4 = Δ(Δ3) , and show that if the solution of the problem exists, then the domain must be an open N -ball (N 2) . As a consequence of overdetermined problems mean value results are obtained for harmonic, biharmonic, triharmonic and 4-harmonic functions. Mathematics subject classification (2010): 35J25, 35P15, 35B50.
متن کاملA Boundary Meshless Method for Neumann Problem
Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a meshless method is describe...
متن کاملGlobal uniqueness for a non-overdetermined inverse conductivity problem in unbounded domains
In this paper we show that sufficiently smooth coefficients of the elliptic operator ∇x · σ(x)∇x − c(x′), x ∈ R, x′ ∈ R can be uniquely determined from the Cauchy data given on a strip in the plane {x3 = 0}. This is an extension of Tikhonov’s formulation of the one-dimensional inverse problem of electric prospecting to two dimensions. In this formulation, the number of variables in the Cauchy d...
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: Ufa Mathematical Journal
سال: 2020
ISSN: 2074-1863,2074-1871
DOI: 10.13108/2020-12-2-10