Výsledky vyhledávání

Determining an unbounded potential for an elliptic equation with a power type nonlinearity

Autor: Janne Nurminen

In this article we focus on inverse problems for a semilinear elliptic equation. We show that a potential $q$ in $L^{n/2+\varepsilon}$, $\varepsilon>0$, can be determined from the full and partial Dirichlet-to-Neumann map. This extends the results fr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5e89a07201fec720ad511567b4e7079
http://arxiv.org/abs/2206.04866

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Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena

Autor: Pu-Zhao Kow, Simon Larson, Mikko Salo, Henrik Shahgholian

In this paper, we introduce quadrature domains for the Helmholtz equation. We show existence results for such domains and implement the so-called partial balayage procedure. We also give an application to inverse scattering problems, and show that th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d097adc8a983de2cdb20fe0e15cb85a
http://arxiv.org/abs/2204.13934

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How much is enough? : The convergence of finite sample scattering properties to those of infinite media

Autor: Timo Väisänen, Jukka Räbinä, Johannes Markkanen, Karri Muinonen, Antti Penttilä, Maxim A. Yurkin

We study the scattering properties of a cloud of particles. The particles are spherical, close to the incident wavelength in size, have a high albedo, and are randomly packed to 20% volume density. We show, using both numerically exact methods for so

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db1c9534bb8e70b6011c28b842b0373d
http://hdl.handle.net/10138/329987

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An Inverse Problem for the Relativistic Boltzmann Equation

Autor: Tracey Balehowsky, Antti Kujanpää, Matti Lassas, Tony Liimatainen

We consider an inverse problem for the Boltzmann equation on a globally hyperbolic Lorentzian spacetime $(M,g)$ with an unknown metric $g$. We consider measurements done in a neighbourhood $V\subset M$ of a timelike path $\mu$ that connects a point $

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98fd21a566cfd31533beda8e1f899222

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The Potentials of Tangible Technologies for Learning Linear Equations

Autor: Lehtonen, Daranee, Machado, Lucas, Joutsenlahti, Jorma, Perkkilä, Päivi

Publikováno v: Multimodal Technologies and Interaction
Volume 4
Issue 4
Multimodal Technologies and Interaction, Vol 4, Iss 77, p 77 (2020)

Tangible technologies provide interactive links between the physical and digital worlds, thereby merging the benefits of physical and virtual manipulatives. To explore the potentials of tangible technologies for learning linear equations, a tangible

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e52ea28845489bd877e795e2dce5f371
http://urn.fi/URN:NBN:fi:jyu-202010276391

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Partial data inverse problems for Maxwell equations via Carleman estimates

Autor: Petri Ola, Leo Tzou, Mikko Salo, Francis J. Chung

In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary data is measured on a possi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35fff7df20a85943576683f92d656c00
http://hdl.handle.net/10138/313514

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On the interior regularity of weak solutions to the 2-D incompressible Euler equations

Autor: Juhana Siljander, José Miguel Urbano

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

We study whether some of the non-physical properties observed for weak solutions of the incompressible Euler equations can be ruled out by studying the vorticity formulation. Our main contribution is in developing an interior regularity method in the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81b1defcb03495ddc20d156c9a5df02c
https://doi.org/10.1007/s00526-017-1231-8

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Harmoniset funktiot kompleksialueessa ja konformikuvaukset

Autor: Karttunen, Hanna-Kaisa

Tämän tutkielman tarkoituksena on syventää tietoja kompleksianalyysistä tutustumalla harmonisiin funktioihin ja konformikuvauksiin. Funktioita, jotka toteuttavat Laplacen yhtälön, kutsutaan harmonisiksi funktioiksi. Harmonisten funktioiden mä

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1222::ea9d382b4b0f1ceaaa98c6f552c418d8
http://urn.fi/URN:NBN:fi:jyu-201501271190

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Lämpöyhtälön ja Laplacen yhtälön ratkaisun ominaisuuksia

Autor: Pakarinen, Tiina

Tämän tutkielman tarkoituksena on tutustua kahteen tärkeään osittaisdifferentiaaliyhtälöön; Laplacen yhtälöön ja lämpöyhtälöön. Näitä molempia hyödynnetään fysiikan lisäksi useiden muidenkin tieteenalojen sovelluksissa. Lämpöy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1222::a8f815c4d47b9aa57c502d69a9e1f586
http://urn.fi/URN:NBN:fi:jyu-201505101782

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