Zobrazeno 1 - 10
of 140
pro vyhledávání: '"Alexander Komech"'
Autor:
Alexander Komech
Publikováno v:
Annales mathématiques du Québec. 46:139-159
Our goal is the discussion of the problem of mathematical interpretation of basic postulates (or “principles”) of Quantum Mechanics: transitions to quantum stationary orbits, the wave-particle duality, and the probabilistic interpretation, in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d92be7c3f3e794916162bc175e5a0957
https://doi.org/10.1007/s40316-021-00179-1
https://doi.org/10.1007/s40316-021-00179-1
Autor:
Alexander Komech, Elena Kopylova
Publikováno v:
Russian Mathematical Surveys. 75:1-87
This is a survey of the theory of attractors of nonlinear Hamiltonian partial differential equations since its appearance in 1990. Included are results on global attraction to stationary states, to solitons, and to stationary orbits, together with re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5401360a8f624c2ccd0644c4db9d5a87
https://doi.org/10.1070/rm9900
https://doi.org/10.1070/rm9900
Autor:
Alexander Komech, Elena Kopylova
This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97ce77e9184e6f465d0068fec3200fd1
https://doi.org/10.1017/9781009025454
https://doi.org/10.1017/9781009025454
Autor:
Alexander Komech, Elena Kopylova
Publikováno v:
Dynamics of Partial Differential Equations. 16:105-124
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77128e1a7d426549cb7a953aeb2b1539
https://doi.org/10.4310/dpde.2019.v16.n2.a1
https://doi.org/10.4310/dpde.2019.v16.n2.a1
Autor:
Elena Kopylova, Alexander Komech
The well-posedness and global attraction are proved for nonautonomous 2D nonlinear damped Schrodinger equations with almost periodic external source in a bounded region. The proofs rely on a develo...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f5310f36e1e3711564e0d35024f44d1
https://doi.org/10.1080/00036811.2021.1895124
https://doi.org/10.1080/00036811.2021.1895124
Mark Vishik was one of the prominent figures in the theory of partial differential equations. His ground-breaking contributions were instrumental in integrating the methods of functional analysis into this theory.The book is based on the memoirs of h
Autor:
Alexander Komech, Elena Kopylova
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:64-85
We consider the Schrodinger--Poisson--Newton equations for finite crystals under periodic boundary conditions with one ion per cell of a lattice. The electron field is described by the $N$-particle...
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https://explore.openaire.eu/search/publication?articleId=doi_________::6b60ddf4f5f76b61d6291f7b79a39be8
https://doi.org/10.1137/17m1123249
https://doi.org/10.1137/17m1123249
Autor:
Alexander Komech
This book gives a concise introduction to Quantum Mechanics with a systematic, coherent, and in-depth explanation of related mathematical methods from the scattering theory and the theory of Partial Differential Equations.The book is aimed at graduat