Results 81 to 90 of about 1,641,201 (192)
, 2021 Under a priori boundedness conditions of solutions and coefficients, we prove a Hölder stability estimate for an inverse problem of determining two spatially varying zeroth order non-diagonal elements of a coefficient matrix in a one-dimensional ...
Huang X. +5 more
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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$\
Walter Bergweiler, Jie Ding
wiley +1 more source
Carleman Type Estimates in an Anisotropic Case and Applications
Journal of Differential Equations, 1993 We give proofs and some further applications of estimates announced in the author's note [Sov. Math. Dokl. 22, 639-642 (1980); transl. from Dokl. Akad. Nauk SSSR 255, 18-21 (1980; Zbl 0468.35030)]. These results extend those of \textit{L. Hörmander} [Linear partial differential operators, Springer, Berlin etc.
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Interpolation of derivatives and ultradifferentiable regularity
Mathematische Nachrichten, Volume 298, Issue 2, Page 617-635, February 2025.Abstract Interpolation inequalities for Cm$C^m$ functions allow to bound derivatives of intermediate order 0
Armin Rainer, Gerhard Schindl
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, 2012 In the discrete setting of one-dimensional finite-differences we prove a Carleman estimate for a semi-discretization of the parabolic operator $\partial_t-\partial_x (c\partial_x )$ where the diffusion coefficient $c$ has a jump. As a consequence of this
Nguyen, Thuy
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Null controllability of a model in population dynamics
Electronic Journal of Differential Equations, 2014 In this article, we study the null controllability of a linear model with degenerate diffusion in population dynamics. We develop first a Carleman type inequality for the adjoint system of an intermediate model, and then an observability inequality.
Younes Echarroudi, Lahcen Maniar
doaj
Global Lipschitz stability for an inverse coefficient problem for a mean field game system
Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3858-3870, February 2025.For an inverse coefficient problem of determining a state‐varying factor in the corresponding Hamiltonian for a mean field game system, we prove the global Lipschitz stability by spatial data of one component and interior data in an arbitrarily chosen subdomain over a time interval. The proof is based on Carleman estimates with different norms.
Oleg Imanuvilov, Masahiro Yamamoto
wiley +1 more source
Null controllability of nonlinear control systems governed by coupled degenerate parabolic equations
Electronic Journal of Differential Equations, 2019 This article concerns the null controllability of a nonlinear control system governed by coupled degenerate parabolic equations. We first establish the Carleman estimate and the observability inequality for solutions to the conjugate problem.
Fengdan Xu +3 more
doaj
Carleman estimates and unique continuation for the Schroedinger equation
Differential and Integral Equations, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Carleman estimates for time-discrete parabolic equations and applications to controllability
, 2020 International audienceIn this paper, we prove a Carleman estimate for a time-discrete parabolic equation in which the large parameter is connected to the time step of the discretization scheme. This estimate is then used to obtain a relaxed observability
Boyer, Franck +3 more
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