Results 41 to 50 of about 94,152 (277)

The stability for the Cauchy problem for elliptic equations

, 2009
We discuss the ill-posed Cauchy problem for elliptic equations, which is pervasive in inverse boundary value problems modeled by elliptic equations. We provide essentially optimal stability results, in wide generality and under substantially minimal ...
Adolfsson V, Agmon S, Alessandrini G, Alessandrini G, Alessandrini G, Alessandrini G, Almgren F J, Aronszajn N, Bers L, Bers L, Bojarski B, Bukhgeim A L, Bukhgeim A L Cheng J Yamamoto M, Carleman T, Carleman T, Carleman T, Cordes H O, Duren P L, Edi Rosset, Gilbarg D, Giovanni Alessandrini, Goluzin G M, Goluzin G M, Hadamard J, Hadamard J, Hadamard J, Hadamard J, Heinonen J, Heinz E, Hrycak T, Hörmander L, Hörmander L, Isakov V, Isakov V, Kufner A, Landis E M, Landis E M, Lavrent′ev M M, Lavrent′ev M M, Lavrent′ev M M, Lavrent′ev M M, Lavrent′ev M M, Lavrent′ev M M, Lavrent′ev M M, Lehto O, Lin C-L Nakamura G Wang J-N, Luca Rondi, Mandache N, Maz′ya V, Miller K, Morassi A, Morassi A, Nadirashvili N S, Nadirashvili N S, Nevanlinna F, Payne L E, Payne L E, Pliš A, Priwaloff J, Pucci C, Sergio Vessella, Subbarayappa D A, Tikhonov A N, Vessella S, Zhdanov M S   +64 more
core   +2 more sources

Prospects of Electric Field Control in Perpendicular Magnetic Tunnel Junctions and Emerging 2D Spintronics for Ultralow Energy Memory and Logic Devices

Advanced Functional Materials, EarlyView.
Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp, Brahmdutta Dixit, Yifei Yang, Deyuan Lyu, Thomas Peterson, Qi Jia, Yu‐Chia Chen, Jian‐Ping Wang   +7 more
wiley   +1 more source

From Mechanics to Electronics: Influence of ALD Interlayers on the Multiaxial Electro‐Mechanical Behavior of Metal–Oxide Bilayers

Advanced Functional Materials, EarlyView.
Ultrathin AlOxHy interlayers between aluminum films and polymer substrates significantly improve electro‐mechanical properties of flexible thin film systems. By precisely controlling interlayer thickness using atomic layer deposition, this study identifies an optimal interlayer thickness of 5–10 nm that enhances ductility and delays cracking.
Johanna Byloff, Vivek Devulapalli, Daniele Casari, Thomas E. J. Edwards, Claus O. W. Trost, Megan J. Cordill, Shuhel Altaf Husain, Pierre‐Olivier Renault, Damien Faurie, Barbara Putz   +9 more
wiley   +1 more source

On an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation with Integral Condition

Abstract and Applied Analysis, 2014
An inverse boundary value problem for a fourth order elliptic equation is investigated. At first the initial problem is reduced to the equivalent problem for which the existence and uniqueness theorem of the solution is proved. Further, using these facts,
Yashar T. Mehraliyev
doaj   +1 more source

Bio‐Inspired Magnetically Tunable Structural Colors from Elliptical Self‐Assembled Block Copolymer Microparticles

Advanced Functional Materials, EarlyView.
Cephalopod‐inspired photonic microparticles with dynamic structural coloration are fabricated via confined self‐assembly of linear block copolymers into ellipsoids containing stacked lamellae. Embedded superparamagnetic nanoparticles enable rapid magnetic alignment, restoring vivid, angle‐dependent color.
Gianluca Mazzotta, Simone Bertucci, Jose Mendoza‐Carreño, Agustín Mihi, Paola Lova, Davide Comoretto, Ullrich Steiner, Marco Lattuada, Andrea Dodero   +8 more
wiley   +1 more source

Recent progress in the conductivity reconstruction in Calderón’s problem

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this work, we study a nonlinear inverse problem for an elliptic partial differential equation known as the Calderón problem or the inverse conductivity problem.
Manal Aoudj
doaj  

Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP

Boundary Value Problems, 2017
This paper is devoted to a Bitsadze-Samarskii type overdetermined multipoint nonlocal boundary value problem (NBVP). This inverse problem is reduced to an auxiliary multipoint NBVP.
Charyyar Ashyralyyev
doaj   +1 more source

Highly Tunable and Cell‐Remodelable Thiol‐ene Alginate‐Peptide Crosslinked Hydrogels to Recreate Cellular and Organoid Microenvironments for Biofabrication

Advanced Healthcare Materials, EarlyView.
Norbornene‐functionalized alginate is crosslinked with a di‐thiolated peptide sequence cleavable by cell‐secreted matrix metalloproteinases and decorated with cell‐adhesion peptides upon exposure to UV. Thyroid follicles, endometrial and intestinal organoids are encapsulated in a gentle manner with high cell viability and correct phenotype ...
Julia Fernández‐Pérez, Adrián Seijas‐Gamardo, Antonio J. Feliciano, Panagiota Kakni, Anna M. Kip, Paul Wieringa, Stefan Giselbrecht, Matthew B. Baker, Lorenzo Moroni   +8 more
wiley   +1 more source

An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle

Mathematical Modelling and Analysis, 2014
In this paper, the inverse problem of finding a coefficient in a second order elliptic equation is investigated. The conditions for the existence and uniqueness of the classical solution of the problem under consideration are established. Numerical tests
Yashar T. Mehraliyev, Fatma Kanca
doaj   +1 more source

Designing Illumination Lenses and Mirrors by the Numerical Solution of Monge-Amp\`ere Equations

, 2015
We consider the inverse refractor and the inverse reflector problem. The task is to design a free-form lens or a free-form mirror that, when illuminated by a point light source, produces a given illumination pattern on a target.
Brix, Kolja, Hafizogullari, Yasemin, Platen, Andreas   +2 more
core   +1 more source