6,407 research outputs found

    In memory of Professor Victor Isakov

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    Dr. Victor Isakov Memorial video was originally posted on YouTube.Distinguished Professor Victor Isakov of the Department of Mathematics, Statistics, and Physics passed away Friday, May 14, 2021 at the age of 73 after a battle with cancer. In 1988, Professor Isakov joined Wichita State University as a Professor of Mathematics specializing in Partial Differential Equations and Inverse Problems. In 2000, he went on to become the Emylou Keith and Betty Dutcher Faculty of Distinction Endowed Professor due to his outstanding contributions to research in the area of inverse problems. Professor Isakov was recognized as a world-class authority in inverse problems, and he produced many original and breakthrough results for linear and nonlinear inverse boundary value problems. He authored 140 papers in mathematical journals and three books in the subjects of inverse problems and mathematical physics. He also organized several conferences around the world and advised many graduate students. His research has continuously been supported by NSF since 1990. His passing is a huge loss to both the Wichita State University and the inverse problem community

    On the Uniqueness in the Inverse Conductivity Problem with One Measurement

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    Friedman, Avner; Isakov, Victor. (1988). On the Uniqueness in the Inverse Conductivity Problem with One Measurement. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4912

    Stability for an inverse problem in potential theory

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    Bellout, Hamid; Friedman, Avner; Isakov, Victor. (1990). Stability for an inverse problem in potential theory. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/5162

    Measuring and analyzing German and Spanish customer satisfaction of using the iPhone 4S Mobile Cloud service

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    This paper presents the customer satisfaction analysis for measuring popularity in the Mobile Cloud, which is an emerging area in the Cloud and Big Data Computing. Organizational Sustainability Modeling (OSM) is the proposed method used in this research. The twelve-month of German and Spanish consumer data are used for the analysis to investigate the return and risk status associated with the ratings of customer satisfaction in the iPhone 4S Mobile Cloud services. Results show that there is a decline in the satisfaction ratings in Germany and Spain due to economic downturn and competitions in the market, which support our hypothesis. Key outputs have been explained and they confirm that all analysis and interpretations fulfill the criteria for OSM. The use of statistical and visualization method proposed by OSM can expose unexploited data and allows the stakeholders to understand the status of return and risk of their Cloud strategies easier than the use of other data analysis

    Analyticity and uniqueness for the inverse conductivity problem

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    Consideriamo il problema inverso di determinare il coefficiente di conduttività a=1+μXD,DΩ,μ=costantea=1+\mu_{\mathcal{X\mathit{D}}},D\subset\subset\Omega,\mu=\textrm{costante}, nell'equazione ellittica div(au)=0\left(a\nabla u\right)=0 in Ω\Omega, quando siano assegnati dati al bordo sovradeterminati per una soluzione u non banale. Mostriamo che la nonunicità nella determinazione di D implica che una porzione Γ\Gamma di D\partial\textrm{D} è soluzione di un particolare problema di frontiera libera. Dimostriamo alcune proprietà di analiticità di tale frontiera libera e, in conseguenza, otteniamo alcuni risultati di unicità per il problema inverso della conduttività.We treat the inverse problem of the determination of the conductivity coefficient a=1+μXD,DΩ,μ=costanta=1+\mu_{\mathcal{X\mathit{D}}},D\subset\subset\Omega,\mu=\textrm{costant}, in the elliptic equation div(au)=0\left(a\nabla u\right)=0 in Ω\Omega, when overdetermined boundary data for one nontrivial solution u are assigned. We show that nonuniqueness in the detennination of the domain D would imply that a part Γ\Gamma of D\partial\textrm{D} is a solution of a particular free boundary problem. We prove analyticity properties of such a free boundary and, consequently, we derive uniqueness results for the inverse conductivity problem
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