Zobrazeno 1 - 10
of 264
pro vyhledávání: '"Carlos E. Kenig"'
This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the
Autor:
Carlos E. Kenig
Publikováno v:
Revista de la Unión Matemática Argentina. :127-135
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84cc9435d26e80539838b23e8c0f29f1
https://doi.org/10.33044/revuma.3159
https://doi.org/10.33044/revuma.3159
Publikováno v:
The Journal of Geometric Analysis. 31:7036-7074
We consider the energy-critical focusing wave equation in space dimension $$N\ge 3$$ . The equation has a nonzero radial stationary solution W, which is unique up to scaling and sign change. It is conjectured (soliton resolution) that any radial, bou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc7de085c6e235c04e9d76cff82ead26
https://doi.org/10.1007/s12220-020-00591-z
https://doi.org/10.1007/s12220-020-00591-z
Autor:
Carlos E. Kenig, Jiuyi Zhu
Publikováno v:
SIAM Journal on Mathematical Analysis. 53:111-132
The paper is mainly concerned with an approximate three-ball inequality for solutions in elliptic periodic homogenization. We consider a family of second order operators $\mathcal{L}_\epsilon$ in d...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8b2b2f86f8ddd7396fe119b79831453
https://doi.org/10.1137/20m1312770
https://doi.org/10.1137/20m1312770
Autor:
Carlos E. Kenig
Publikováno v:
Bulletin of the American Mathematical Society. 58:173-189
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19491517a32c3a4e2f13288aaf84a56e
https://doi.org/10.1090/bull/1718
https://doi.org/10.1090/bull/1718
Publikováno v:
St. Petersburg Mathematical Journal. 31:337-353
In this article, we continue our investigation into the unique continuation properties of real-valued solutions to elliptic equations in the plane. More precisely, we make another step towards proving a quantitative version of Landis' conjecture by e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::171016b5eac34a5d7d294da082c947d2
https://doi.org/10.1090/spmj/1600
https://doi.org/10.1090/spmj/1600
Autor:
Carlos E. Kenig
Publikováno v:
Analysis at Large ISBN: 9783031053306
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1cb8004f8471b1b116898c4ccfd7d315
https://doi.org/10.1007/978-3-031-05331-3_10
https://doi.org/10.1007/978-3-031-05331-3_10
Autor:
Carlos E. Kenig, Dana Mendelson
Publikováno v:
International Mathematics Research Notices. 2021:14508-14615
We consider the focusing energy-critical quintic nonlinear wave equation in 3D Euclidean space. It is known that this equation admits a one-parameter family of radial stationary solutions, called solitons, which can be viewed as a curve in $ \dot H^s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c9c3f972e1b61d2a666995404a731b9
https://doi.org/10.1093/imrn/rnz174
https://doi.org/10.1093/imrn/rnz174
Autor:
Carlos E. Kenig
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 39:6979-6993
This is a survey of some recent results on the asymptotic behavior of solutions to critical nonlinear wave equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::403d46ed60b2577d4705839020c4a863
https://doi.org/10.3934/dcds.2019240
https://doi.org/10.3934/dcds.2019240
We prove explicit doubling inequalities and obtain uniform upper bounds (under $(d-1)$-dimensional Hausdorff measure) of nodal sets of weak solutions for a family of linear elliptic equations with rapidly oscillating periodic coefficients. The doubli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f1ec9737cda65f69a1626dd27d983b3
http://arxiv.org/abs/2101.04841
http://arxiv.org/abs/2101.04841