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Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 09/2016, Volume 33, Issue 5, pp. 1279 - 1299
We extend the De Giorgi–Nash–Moser theory to nonlocal, possibly degenerate integro-differential operators. 
Hölder regularity | Singular perturbations | Quasilinear nonlocal operators | Fractional Sobolev spaces | Caccioppoli estimates | MATHEMATICS, APPLIED | EQUATIONS | Holder regularity | OPERATORS | LAPLACE | Mathematics - Analysis of PDEs
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2020, Volume 540, p. 122884
The behavior pattern has regularity, reflecting the behavior feature and logic of the research object, and has a great influence on the prediction of the... 
Quantification analysis | Behavior pattern | LSTM | Perceptually important point | Time series | Prediction | REGRESSION | SUPPORT VECTOR MACHINES | PHYSICS, MULTIDISCIPLINARY | INFORMATION | CLASSIFICATION | MODEL | MEMORY | SINGULAR SPECTRUM ANALYSIS | NEURAL-NETWORK
Journal Article
1991, Lecture notes in mathematics, ISBN 0387550097, Volume 1502, 139
This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic... 
Riemann surfaces | Differential equations | Asymptotic theory | Global analysis (Mathematics) | Algebraic Geometry | Geometry, algebraic | Analysis
Book
Measurement, ISSN 0263-2241, 06/2018, Volume 121, pp. 26 - 38
[Display omitted] •The PCM can describe intermittent pulse-like qualities in real-world steering measurements.•Steering angle measurements can be decomposed... 
Pulse control model | Singular spectral analysis | Fourier curve-fitting | Statistical pattern analysis | Empirical model decomposition | Principal component analysis | ROTATING MACHINERY | SINGULAR-SPECTRUM ANALYSIS | SIGNALS | INSTRUMENTS & INSTRUMENTATION | EMPIRICAL MODE DECOMPOSITION | ENGINEERING, MULTIDISCIPLINARY | FAULT-DIAGNOSIS
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 06/2017, Volume 49, Issue 3, pp. 512 - 518
Recent progress in multilinear harmonic analysis naturally raises questions about the local behaviour of the best constant (or bound) in the general... 
26D20 (primary) | 44A35 | 42B10 (secondary) | MATHEMATICS | INEQUALITIES | SINGULAR MEASURES | Mathematics - Classical Analysis and ODEs
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 03/2020, Volume 192, p. 111702
We study the local Hölder continuity and the asymptotic behaviour of solution, u=(u1,…,uk), of the degenerate system uti=∇⋅mUm−1∇uifor m>1 and i=1,…,kwhich... 
Local continuity | Asymptotic behaviour | Degenerate equation | Eventual concavity | SINGULAR SOLUTIONS | MATHEMATICS | MATHEMATICS, APPLIED | POROUS-MEDIUM EQUATION | REGULARITY | THEOREM | GAS-FLOW | FREE-BOUNDARY
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 09/2017, Volume 102, pp. 285 - 294
Journal Article
Qualitative Theory of Dynamical Systems, ISSN 1575-5460, 4/2019, Volume 18, Issue 1, pp. 265 - 287
This work researches the singular traveling wave system of the ( $$\hbox {n}+1$$ n + 1 )-dimensional nonlinear Klein-Gordon equation via the bifurcation theory... 
Singular system | Phase portraits | Klein-Gordon equation | Difference and Functional Equations | Nonanalytic waves | Mathematics, general | Mathematics | Dynamical Systems and Ergodic Theory | Regular system | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 01/2020, Volume 190, p. 111611
Journal Article
Physics Reports, ISSN 0370-1573, 2007, Volume 440, Issue 4, pp. 113 - 259
Plastic deformation is a highly dissipative process that induces a variety of patterns such as the cell structure in multislip conditions, the matrix structure... 
CYCLIC DEFORMATION | SINGULAR HOPF-BIFURCATION | MIXED-MODE OSCILLATIONS | FCC COPPER-ALLOYS | PHYSICS, MULTIDISCIPLINARY | REDUCTIVE PERTURBATION APPROACH | LE-CHATELIER BANDS | PERSISTENT SLIP BANDS | QUENCHED-IN VACANCIES | STABLE PLASTIC-DEFORMATION | ACOUSTIC-EMISSION
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 8/2019, Volume 198, Issue 4, pp. 1257 - 1293
We use the notion of first and second inner variations as a bridge allowing one to pass to the limit of first and second Gateaux variations for the Allen–Cahn,... 
Allen–Cahn functional | Neumann eigenvalue problem | Sharp interface limit | 49R05 | 58E12 | Mathematics | Inner variations | 49J45 | 49K20 | Stable hypersurface | Ohta–Kawasaki functional | Mathematics, general | 58E30 | MATHEMATICS, APPLIED | VAN | SINGULAR PERTURBATION | GAMMA-CONVERGENCE | PHASE INTERFACES | MATHEMATICS | Ohta-Kawasaki functional | MOTION | Allen-Cahn functional | GRADIENT THEORY | FLOWS | EQUATION
Journal Article
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