Results 81 to 90 of about 1,208,780 (193)

Stabilization for degenerate equations with drift and small singular term

Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5086-5109, 15 March 2025.
We consider a degenerate/singular wave equation in lone dimension, with drift and in presence of a leading operator that is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the other endpoint.
Genni Fragnelli, Dimitri Mugnai, Amine Sbai   +2 more
wiley   +1 more source

Carleman estimates and null controllability for a degenerate population model [PDF]

, 2018
We deal with a degenerate model describing the dynamics of a population depending on time, on age and on space. We assume that the degeneracy can occur at the boundary or in the interior of the space domain and we focus on null controllability problem.
Genni Fragnelli
core   +1 more source

Carleman Type Estimates in an Anisotropic Case and Applications

Journal of Differential Equations, 1993
We give proofs and some further applications of estimates announced in the author's note [Sov. Math. Dokl. 22, 639-642 (1980); transl. from Dokl. Akad. Nauk SSSR 255, 18-21 (1980; Zbl 0468.35030)]. These results extend those of \textit{L. Hörmander} [Linear partial differential operators, Springer, Berlin etc.
openaire   +2 more sources

On the boundary of an immediate attracting basin of a hyperbolic entire function

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Let f$f$ be a transcendental entire function of finite order which has an attracting periodic point z0$z_0$ of period at least 2. Suppose that the set of singularities of the inverse of f$f$ is finite and contained in the component U$U$ of the Fatou set that contains z0$z_0$. Under an additional hypothesis, we show that the intersection of ∂U$\
Walter Bergweiler, Jie Ding
wiley   +1 more source

Internal exact controllability of the linear population dynamics with diffusion

Electronic Journal of Differential Equations, 2004
We consider the internal exact controllability of a linear age and space structured population model with nonlocal birth process. The control acts only in a spatial subdomain and only for small age classes.
Bedr'Eddine Ainseba, Sebastian Anita
doaj  

Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates

, 2018
In this article, we consider a fractional diffusion equation of half order in time. We study inverse problems of determining the space-dependent factor in the source term from additional data at a fixed time and interior or boundary data over an ...
Atsushi Kawamoto
core   +1 more source

Carleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuation

, 2020
In this paper, we establish some new L2 − L2 Carleman estimates for the Baouendi–Grushin operators Bγ, in Equation (1). We apply such estimates to obtain: (i) an extension of the Bourgain–Kenig quantitative unique continuation and (ii) the strong unique ...
Banerjee A., Garofalo N., Manna R.
core   +1 more source

Carleman estimates and unique continuation property for abstract elliptic equations [PDF]

, 2012
The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued L (p) -space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for
Shakhmurov, Veli B., Veli B Shakhmurov
core   +1 more source

An Inverse Source Problem for Singular Parabolic Equations with Interior Degeneracy

Abstract and Applied Analysis, 2018
The main purpose of this work is to study an inverse source problem for degenerate/singular parabolic equations with degeneracy and singularity occurring in the interior of the spatial domain.
Khalid Atifi, Idriss Boutaayamou, Hamed Ould Sidi, Jawad Salhi   +3 more
doaj   +1 more source