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Illya M. Karabash
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17
M-dissipative generalized impedance boundary conditions, discrete spectra, and pointwise multipliers between fractional Sobolev spaces
1 February 2025 by
Illya Karabash
Analysis of PDEs
,
Mathematical Physics
Random acoustic boundary conditions and Weyl's law for Laplace-Beltrami operators on non-smooth boundaries
19 October 2024 by
Illya Karabash
Analysis of PDEs
,
Probability
Multi-parameter Hopf bifurcations of rimming flows
17 June 2024 by
Illya Karabash
and
others
at
University of Stuttgart
Analysis of PDEs
,
Dynamical Systems
Homogenization and nonselfadjoint spectral optimization for dissipative Maxwell eigenproblems
18 February 2024 by
Matthias Eller
and
Illya Karabash
at
Georgetown University
Analysis of PDEs
,
Optimization and Control
M-dissipative boundary conditions and boundary tuples for Maxwell operators
9 October 2021 by
Matthias Eller
and
Illya Karabash
Analysis of PDEs
,
Mathematical Physics
Asymptotics of random resonances generated by a point process of delta-interactions
3 December 2019 by
Sergio Albeverio
and
Illya Karabash
Mathematical Physics
,
Probability
Euler-Lagrange equations for full topology optimization of the Q-factor in leaky cavities
31 May 2019 by
Matthias Eller
and
Illya Karabash
Optimization and Control
,
Numerical Analysis
Pareto optimization of resonances and minimum-time control
17 December 2018 by
Illya Karabash
and
others
Optimization and Control
,
Mathematical Physics
On the multilevel internal structure of the asymptotic distribution of resonances
26 October 2018 by
Sergio Albeverio
and
Illya Karabash
Mathematical Physics
Generic asymptotics of resonance counting function for Schrödinger point interactions
14 October 2018 by
Sergio Albeverio
and
Illya Karabash
Spectral Theory
,
Mathematical Physics
Resonance free regions and non-Hermitian spectral optimization for Schrödinger point interactions
14 August 2017 by
Sergio Albeverio
and
Illya Karabash
Optimization and Control
Recovery of periodicities hidden in heavy-tailed noise
18 February 2016 by
Illya Karabash
and
Jürgen Prestin
Classical Analysis and ODEs
,
Numerical Analysis
Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities
19 August 2015 by
Illya Karabash
and
others
Optimization and Control
,
Analysis of PDEs
Pareto optimal structures producing resonances of minimal decay under
L^1
-type constraints
11 August 2013 by
Illya Karabash
Optimization and Control
,
Mathematical Physics
Optimization of quasi-normal eigenvalues for Krein-Nudelman strings
1 March 2012 by
Illya Karabash
Spectral Theory
,
Optimization and Control
Optimization of quasi-normal eigenvalues for 1-D wave equations in inhomogeneous media; description of optimal structures
11 April 2011 by
Illya Karabash
Spectral Theory
,
Mathematical Physics
Bohl-Perron type stability theorems for linear difference equations with infinite delay
30 September 2010 by
Elena Braverman
and
Illya Karabash
Dynamical Systems
,
Classical Analysis and ODEs
On the nature of ill-posedness of the forward-backward heat equation
27 March 2008 by
Marina Chugunova
and
others
Analysis of PDEs
,
Spectral Theory
The similarity problem for
J
-nonnegative Sturm-Liouville operators
20 March 2008 by
Illya Karabash
and
others
Spectral Theory
,
Classical Analysis and ODEs
Indefinite Sturm-Liouville operators with the singular critical point zero
6 December 2006 by
Illya Karabash
and
Aleksey Kostenko
Spectral Theory
,
Functional Analysis
This is an AI-generated summary
Key points
Topics
Mathematical Physics
Spectral Theory
Optimization and Control
Optics
Analysis of PDEs
Classical Analysis and ODEs
Functional Analysis
Probability
Numerical Analysis
Statistics Theory
Dynamical Systems