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Computers and Mathematics with Applications, ISSN 0898-1221, 03/2019, Volume 77, Issue 5, pp. 1273 - 1281
In this paper, we consider the unique continuation property for the Zakharov–Kuznetsov equation posed in a bounded domain. For this purpose, we establish a... 
Unique continuation property | Zakharov–Kuznetsov equation | Carleman estimate | MATHEMATICS, APPLIED | Zakharov-Kuznetsov equation | GLOBAL CARLEMAN ESTIMATE | STABILIZATION | CAUCHY-PROBLEM | DE-VRIES EQUATION | BONA-MAHONY EQUATION
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 2009, Volume 23, Issue 1, pp. 195 - 216
The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companion, Part I. One reason of the still limited use of NNMs in... 
Nonlinear dynamics | Nonlinear normal modes | Modal analysis | Continuation methods of periodic motions | Shooting method | HAMILTONIAN-SYSTEMS | GLOBAL DYNAMICS | ENERGIES | MECHANICAL OSCILLATORS | ENGINEERING, MECHANICAL | Mechanical engineering | Methods | Algorithms | Vibrations | Mechanics | Engineering Sciences
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 2013, Volume 1558, Issue 1, pp. 1827 - 1830
In this proceeding, an idea is outlined suggesting a generic treatment on any type of input data for a numerical analytic continuation problem, which is needed... 
inverse problem | one-particle spectral function | imaginary time Green function | non-negative least square fit (NNLS) | global minimization | Tikhonov regularization | Pade approximant | temperature Green function | Green's functions | Mathematical analysis | Mathematical models | Spectra | Entropy | Stochasticity | Maximum entropy | Convergence
Conference Proceeding
Journal of Differential Equations, ISSN 0022-0396, 02/2018, Volume 264, Issue 3, pp. 1841 - 1885
We consider continuation criteria for the three-dimensional relativistic Vlasov–Maxwell system. When the particle density, f(t,x,p), is compactly supported at... 
Continuation and prolongation of solutions | Collisionless Plasmas | Relativistic Vlasov–Maxwell system | Partial Differential Equations | Well-posedness | MATHEMATICS | GLOBAL EXISTENCE | THEOREM | Relativistic Vlasov-Maxwell system | COLLISIONLESS PLASMA
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 11/2014, Volume 331, Issue 3, pp. 1005 - 1027
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 2009, Volume 19, Issue 1, pp. 159 - 169
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 11/2015, Volume 39, Issue 3, pp. 400 - 426
We develop a primal dual active set with continuation algorithm for solving the ℓ0 -regularized least-squares problem that frequently arises in compressed... 
Coordinatewise minimizer | Global convergence | Continuation strategy | Primal dual active set algorithm | Algorithms
Journal Article
INDIANA UNIVERSITY MATHEMATICS JOURNAL, ISSN 0022-2518, 2018, Volume 67, Issue 2, pp. 657 - 678
We address the quantitative uniqueness properties of the solutions of the parabolic equation partial derivative(t)u - Delta u = w(j)(x, t) partial... 
MATHEMATICS | long time behavior | 2ND-ORDER ELLIPTIC-OPERATORS | fluid-structure interaction | INEQUALITIES | global solutions | damped wave equation | COEFFICIENTS | NODAL SETS | Navier-Stokes equations
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 04/2012, Volume 22, Issue 4, pp. 1250077 - 1250012
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 10/2015, Volume 25, Issue 4, pp. 2323 - 2359
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 5/2013, Volume 320, Issue 1, pp. 245 - 274
Journal Article