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Applied Mathematics Research Express
Global Carleman estimates for solutions of parabolic systems defined by transposition and some applications to controllability2006 •
ESAIM: Control, Optimisation and Calculus of Variations
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations2012 •
Transactions of the American Mathematical Society
Estimates for eigenfunctions and eigenvalues of nonlinear elliptic problems1984 •
We consider solutions to the nonlinear eigenvalue problem \[ ( ∗ ) A ( x , u → ) u → + λ f ( x , u → ) = 0 in Ω , u → = 0 on ∂ Ω , u → = 0 , on ∂ Ω , u → = 0 , (*)\quad A(x,\vec u)\vec u + \lambda f(x,\vec u) = 0\:\quad {\text {in}}\,\Omega ,\quad \vec u = 0\:\quad {\text {on}}\,\partial \Omega ,\quad \vec u{\text { = }}0,\quad {\text {on}}\partial \Omega ,\quad \vec {u} = 0, \] where (*) is a quasilinear strongly coupled second order elliptic system of partial differential equations and Ω ⊆ R n \Omega \subseteq \mathbf {R}^{n} is a smooth bounded domain. We obtain lower bounds for λ \lambda in the case where f ( x , u → ) f(x,\vec u) has linear growth, and relations between λ , Ω \lambda ,\Omega , and ess sup | u → | |\vec u| when f ( x , u → ) f(x,\vec u) has sub- or superlinear growth. The estimates are based on integration by parts and application of certain Sobolev inequalities. We briefly discuss extensions to higher order systems.
Inverse Problems and Imaging
A Carleman estimate and an energy method for a first-order symmetric hyperbolic systemFor a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman estimate, we prove an observability \begin{document}$ L^2 $\end{document}-estimate for initial values by boundary data.
Journal de Mathématiques Pures et Appliquées
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interfaceCommunications on Pure and Applied Analysis
Keller-Osserman estimates for some quasilinear elliptic systems2012 •
Pacific Journal of Mathematics
On the regularity up to the boundary for second order nonlinear elliptic systems1982 •
SIAM Journal on Control and Optimization
Carleman Estimates for a Class of Degenerate Parabolic Operators2008 •
Storiografia Medica in Europa nel Novecento Medical Historiography in Europe in the Twentieth century Medical Symposium Dalla Medicina di Precisione alla visione olistica In Memoriam Loris Premuda (Montona, 1917 – Trieste, 2012)
Bodily Fluids and the Emergence of Quantification in Pre-Modern Medicine2024 •
This paper describes the emergence of quantification in medicine and the life sciences as an attempt to grapple with the issues posed by vital phenomena seen as processual, fluid, and turbulent events. The temporal framework covers the period from Greek medicine to the seventeenth century, not least because the development of quantification from the seventeenth century onwards has been covered widely as part of the major literature on the so-called "scientific revolution". By analysing a series of metaphors and case studies, my aim is to show how fluidity and turbulence have played a major role in shaping medicine's historical trajectory and its attempt at developing conceptual and technological tools able to cope with it.
CENTURY CELEBRATION ON MOHENJODARO
Mohenjo-daro and Interregional Connections in the Indus Civilization: Evidence from Inscribed Seals2022 •
2023 •
The Journal of Religion
The Abuse of Casuistry: A History of Moral Reasoning. Albert R. Jonsen , Stephen Toulmin1989 •
Guide pour l’établissement et la mise en œuvre d’accords-cadres
Guide pour l’établissement et la mise en œuvre d’accords-cadres2021 •
Revista Brasileira de Cirurgia Cardiovascular
Cardioplegia cristalóide, barotrauma e função endotelial: considerações experimentais1996 •
Relaciones de la Sociedad Argentina de Antropología
Las Banderas De La Vera Historia1999 •
Frontiers in Microbiology
Contribution of Viral Genomic Diversity to Oyster Susceptibility in the Pacific Oyster Mortality Syndrome2020 •
World Journal of Biology Pharmacy and Health Sciences
Antifungal susceptibility testing of Candida isolates from PLHIV patientsInternational Journal of Management Studies
Logistics Flexibility, Relationship Flexibility, and Logistics Service Quality: The Moderating Role of Environmental Uncertainty2021 •
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lowest Call girls In Tughlakabad,, (Delhi) || 97111064442021 •
Revista de Enfermagem da UFSM
Espiritualidade e saúde: experiência de uma disciplina na graduação de enfermagem2018 •