Results 11 to 20 of about 12,650 (261)
Higher order Nevanlinna functions and the inverse three spectra problem [PDF]
Opuscula Mathematica, 2016 The three spectra problem of recovering the Sturm-Liouville equation by the spectrum of the Dirichlet-Dirichlet boundary value problem on \([0,a]\), the Dirichlet-Dirichlet problem on \([0,a/2]\) and the Neumann-Dirichlet problem on \([a/2,a]\) is ...
Olga Boyko +2 more
doaj +1 more source
Dirichlet Problem with L1(S) Boundary Values
Axioms, 2022 Let D be a connected bounded domain in R2, S be its boundary, which is closed and C2-smooth. Consider the Dirichlet problem Δu=0inD,u|S=h, where h∈L1(S).
Alexander G. Ramm
doaj +1 more source
Mathematics, 2022 In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring.
Mengya Su, Liuqing Xie, Zhiyue Zhang
doaj +1 more source
Dirichlet and Neumann Boundary Value Problems for the Polyharmonic Equation in the Unit Ball
Mathematics, 2021 In the previous author’s works, a representation of the solution of the Dirichlet boundary value problem for the biharmonic equation in terms of Green’s function is found, and then it is shown that this representation for a ball can be written in the ...
Valery Karachik
doaj +1 more source
Recovering the shape of an equilateral quantum tree with the Dirichlet conditions at the pendant vertices [PDF]
Opuscula MathematicaWe consider two spectral problems on an equilateral rooted tree with the standard (continuity and Kirchhoff's type) conditions at the interior vertices (except of the root if it is interior) and Dirichlet conditions at the pendant vertices (except of the
Anastasia Dudko +2 more
doaj +1 more source
Orlicz-Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators
Electronic Journal of Differential Equations, 2021 We investigate a connection between solvability of the Dirichlet problem for an infinitely degenerate elliptic operator and the validity of an Orlicz-Sobolev inequality in the associated subunit metric space.
Usman Hafeez +3 more
doaj +1 more source
A parabolic bipolynomial fractional Dirichlet-Laplace problem
Electronic Journal of Differential Equations, 2022 We derive existence results for a parabolic bipolynomial abstract and classical problems containing fractional powers of the Dirichlet-Laplace operator on a bounded domain, in the sense of the Stone-von Neumann operator calculus.
Dariusz Idczak
doaj +3 more sources
On Ambarzumian type theorems for tree domains [PDF]
Opuscula Mathematica, 2022 It is known that the spectrum of the spectral Sturm-Liouville problem on an equilateral tree with (generalized) Neumann's conditions at all vertices uniquely determines the potentials on the edges in the unperturbed case, i.e. case of the zero potentials
Vyacheslav Pivovarchik
doaj +1 more source
Three spectra problem for Stieltjes string equation and Neumann conditions
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Spectral problems are considered which appear in description of small transversal vibrations of Stieltjes strings. It is shown that the eigenvalues of the Neumann-Neumann problem, i.e.
Anastasia Dudko, Vyacheslav Pivovarchik
doaj +1 more source
On the Dirichlet problem for A-harmonic functions
Доповiдi Нацiональної академiї наук України, 2023 We study the Dirichlet boundary value problem with continuous boundary data for the A-harmonic equations div[A grad u] = 0 in an arbitrary bounded domain D of the complex plane £ with no boundary component degenerated to a single point.
V.Ya. Gutlyanskiĭ +3 more
doaj +1 more source