Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Vladimir G. Romanov"'
Publikováno v:
Journal of Inverse and Ill-posed Problems.
It is demonstrated in this paper that the propagation of the electric wave field in a heterogeneous medium in 3D can sometimes be governed well by a single scalar second order PDE, which is derived from Maxwell’s equations. The corresponding compon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::542ebd0916410de6eb2e57c07814cff5
https://doi.org/10.1515/jiip-2021-0085
https://doi.org/10.1515/jiip-2021-0085
Autor:
Vladimir G. Romanov
Publikováno v:
Journal of Inverse and Ill-posed Problems. 28:751-760
The problem of continuation of a solution of electrodynamic equations from the time-like half-plane S = { x ∈ R 3 ∣ x 3 = 0 } S=\{x\in\mathbb{R}^{3}\mid x_{3}=0\} inside the half-space R + 3 = { x ∈ R 3 ∣ x 3 > 0 } \mathbb{R}^{3}_{+}=\{x\in\m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c58abe85d093385fedabab13b8ce8df9
https://doi.org/10.1515/jiip-2020-0012
https://doi.org/10.1515/jiip-2020-0012
Autor:
Vladimir G. Romanov, Masahiro Yamamoto
Publikováno v:
Inverse Problems & Imaging. 13:81-91
For fixed \begin{document} $y \in \mathbb{R}^3$ \end{document} , we consider the equation \begin{document} $L u+k^2u = - δ(x-y), \>x \in \mathbb{R}^3$ \end{document} , where \begin{document} $L=\text{div}(n(x)^{-2}\nabla)+q(x)$ \end{document} , \beg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d6147cbcd6d14a924f65268c205a409
https://doi.org/10.3934/ipi.2019005
https://doi.org/10.3934/ipi.2019005
Publikováno v:
Introduction to Inverse Problems for Differential Equations ISBN: 9783030794262
Inverse problems for wave equations have been extensively studied in the last 50 years due to a large number of engineering and technological applications. The objective of this chapter is to present an analysis of the two basic inverse coefficient p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0db53ca6f18617f56aa71fdec09ea30b
https://doi.org/10.1007/978-3-030-79427-9_10
https://doi.org/10.1007/978-3-030-79427-9_10
Publikováno v:
Introduction to Inverse Problems for Differential Equations ISBN: 9783030794262
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41b54e3862e1ea094f9b68da682a515f
https://doi.org/10.1007/978-3-030-79427-9_8
https://doi.org/10.1007/978-3-030-79427-9_8
Publikováno v:
Introduction to Inverse Problems for Differential Equations ISBN: 9783030794262
Beams and plates are important parts of main engineering constructions such as aircraft wings, flexible robotic manipulators, large space structures and robots, marine risers and moving strips. Within the scope of the linear theory of elasticity, cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd80067b0dcc3f43b23035767a8de2f1
https://doi.org/10.1007/978-3-030-79427-9_11
https://doi.org/10.1007/978-3-030-79427-9_11
Publikováno v:
Introduction to Inverse Problems for Differential Equations ISBN: 9783030794262
In this chapter we consider some inverse problems for the Maxwell equations. Here H = (H1, H2, H3) and E = (E1, E2, E3) are vectors of electric and magnetic strengths, e > 0, μ > 0 and σ are the permittivity, permeability and conductivity coefficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ae51af9cc19535e755094deb71fa44d
https://doi.org/10.1007/978-3-030-79427-9_5
https://doi.org/10.1007/978-3-030-79427-9_5
Publikováno v:
Introduction to Inverse Problems for Differential Equations ISBN: 9783030794262
Introduction to Inverse Problems for Differential Equations ISBN: 9783319627960
Introduction to Inverse Problems for Differential Equations ISBN: 9783319627960
Inverse source problems for evolution PDEs \(u_t=Au+F\), \(t\in (0,T_f]\), represent a well-known area in inverse problems theory and has many engineering applications.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fe5a080ba77a3a06355c63e8ecbb056
https://doi.org/10.1007/978-3-030-79427-9_3
https://doi.org/10.1007/978-3-030-79427-9_3
Publikováno v:
Introduction to Inverse Problems for Differential Equations ISBN: 9783030794262
Introduction to Inverse Problems for Differential Equations ISBN: 9783319627960
Introduction to Inverse Problems for Differential Equations ISBN: 9783319627960
This Chapter deals with inverse coefficient problems for linear second-order 1D parabolic equations. We establish, first, a relationship between solutions of direct problems for parabolic and hyperbolic equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42db9292faab19b074e60035d9ccebb9
https://doi.org/10.1007/978-3-030-79427-9_6
https://doi.org/10.1007/978-3-030-79427-9_6