Results 21 to 30 of about 98,775 (107)

B\"acklund transformations for nonlinear evolution equations: Hilbert space approach [PDF]

, 1992
A new method of determining B\"acklund transformations for nonlinear partial differential equations of the evolution type is introduced. Using the Hilbert space approach the problem of finding B\"acklund transformations is brought down to the solution of
Kowalski, Kowalski, Kowalski, Kowalski, Kowalski, Kowalski, Kowalski, Krzysztof Kowalski, Newell   +8 more
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Nonexistence results for nonlocal equations with critical and supercritical nonlinearities [PDF]

, 2013
We prove nonexistence of nontrivial bounded solutions to some nonlinear problems involving nonlocal operators of the form \[Lu(x)=\sum a_{ij}\partial_{ij}u+{\rm PV}\int_{\R^n}(u(x)-u(x+y))K(y)dy.\] These operators are infinitesimal generators of ...
Ros-Oton, Xavier, Serra, Joaquim
core  

Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields [PDF]

, 2012
Using the Pauli-Villars regularization and arguments from convex analysis, we construct solutions to the classical time-independent Maxwell equations in Dirac's vacuum, in the presence of small external electromagnetic sources. The vacuum is not an empty
C. Hainzl, C. Hainzl, C. Hainzl, C. Hainzl, C. Hainzl, Christian Hainzl, D.A. Slavnov, D.A. Slavnov, D.A. Slavnov, E. Seiler, E. Uehling, F. Della Valle, F. Finster, G. Leibbrandt, H. Euler, H. Euler, J. Schwinger, J.C. Ward, M.J. Esteban, Mathieu Lewin, P. Chaix, P. Chaix, P. Gravejat, P. Gravejat, P.A. Dirac, P.A. Dirac, Philippe Gravejat, R. Karplus, R. Serber, V. Bach, V. Bach, V. Weisskopf, W. Furry, W. Greiner, W. Heisenberg, W. Pauli, W.M. Frank, Éric Séré   +37 more
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Nonlocal elliptic equations in bounded domains: a survey [PDF]

, 2015
In this paper we survey some results on the Dirichlet problem \[\left\{ \begin{array}{rcll} L u &=&f&\textrm{in }\Omega \\ u&=&g&\textrm{in }\mathbb R^n\backslash\Omega \end{array}\right.\] for nonlocal operators of the form \[Lu(x)=\textrm{PV}\int_ ...
Ros-Oton, Xavier
core   +4 more sources

Functional Inequalities: New Perspectives and New Applications [PDF]

, 2012
This book is not meant to be another compendium of select inequalities, nor does it claim to contain the latest or the slickest ways of proving them.
Amir Moradifam, Council Of Canada, Nassif Ghoussoub   +2 more
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Stochastic Collapse and Decoherence of a Non-Dissipative Forced Harmonic Oscillator

, 2004
Careful monitoring of harmonically bound (or as a limiting case, free) masses is the basis of current and future gravitational wave detectors, and of nanomechanical devices designed to access the quantum regime.
Abramovici A, Adler S L, Adler S L, Adler S L, Agarwal G S, Alberto J, Barish B C, Bocko M F, Bollinger J J Heinzen D J Itano W M Gilbert S L Wineland D J J C Zorn R R Lewis, Braginsky V B, Caves C M, Diósi L, Ghirardi G C, Ghirardi G C, Ghirardi G C, Gisin N, Gisin N, Gorini V, Isar A, Joos E, Karrlein R, Lindblad G, Pearle P, Pearle P, Shöllkopf W, Stephen L Adler, Weinberg S   +26 more
core   +1 more source

Quantum models related to fouled Hamiltonians of the harmonic oscillator [PDF]

, 2002
We study a pair of canonoid (fouled) Hamiltonians of the harmonic oscillator which provide, at the classical level, the same equation of motion as the conventional Hamiltonian.
Brif C., De Boer J., E. Alfinito, G. Soliani, Hillery M., Lo C. F., P. Tempesta, Profilo G., R. A. Leo   +8 more
core   +3 more sources

Integrable dynamics of Toda-type on the square and triangular lattices

, 2007
In a recent paper we constructed an integrable generalization of the Toda law on the square lattice. In this paper we construct other examples of integrable dynamics of Toda-type on the square lattice, as well as on the triangular lattice, as nonlinear ...
A. Doliwa, A. Doliwa, A. Doliwa, A. I. Bobenko, A. I. Bobenko, A. V. Mikhailov, B. G. Konopelchenko, F. Calogero, I. M. Krichever, J. H. H. Perk, M. J. Ablowitz, M. J. Ablowitz, M. Nieszporski, M. Toda, M. Toda, P. M. Santini, R .I. Yamilov, R. Hirota, R. Hirota, R. Hirota, R. Hirota, S. P. Novikov, S. V. Manakov, V. E. Zakharov, V. E. Zakharov   +24 more
core   +1 more source

On discretely entropy conservative and entropy stable discontinuous Galerkin methods

, 2018
High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of hyperbolic PDEs.
Chan, Jesse
core   +1 more source

Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
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