Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Jacek Jendrej"'
Publikováno v:
Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, In press
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, In press
We study energy critical one-equivariant wave maps taking values in the two-sphere. It is known that any finite energy wave map that develops a singularity does so by concentrating the energy of (possibly) several copies of the ground state harmonic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::788c298b319b539f4d8e7f144464b879
https://doi.org/10.24033/asens.2514
https://doi.org/10.24033/asens.2514
Autor:
Jacek Jendrej, Andrew Lawrie
Publikováno v:
Analysis & PDE. 15:327-403
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f012d55c61d27862ea4eb37259f8b445
https://doi.org/10.2140/apde.2022.15.327
https://doi.org/10.2140/apde.2022.15.327
We study the existence of ground state standing waves, of prescribed mass, for the nonlinear Schr\"{o}dinger equation with mixed power nonlinearities \begin{equation*} i \partial_t v + \Delta v + \mu v |v|^{q-2} + v |v|^{2^* - 2} = 0, \quad (t, x) \i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5240324a71744e00cc86f9ad64f6f2c
https://hal.science/hal-03037085
https://hal.science/hal-03037085
Autor:
Jacek Jendrej
Publikováno v:
Séminaire Laurent Schwartz — EDP et applications. :1-16
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba08f594d0e1f05468349d2e45193e3e
https://doi.org/10.5802/slsedp.139
https://doi.org/10.5802/slsedp.139
Autor:
Jacek Jendrej, Andrew Lawrie
Publikováno v:
Communications on Pure and Applied Mathematics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7d0b8b4911a86660e81207deb92e72b
https://doi.org/10.1002/cpa.22046
https://doi.org/10.1002/cpa.22046
Autor:
Gong Chen, Jacek Jendrej
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2019, 372 (10), pp.7461-7496. ⟨10.1090/tran/7923⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2019, 372 (10), pp.7461-7496. ⟨10.1090/tran/7923⟩
We give a sufficient condition for existence of an exponential dichotomy for a general linear dynamical system (not necessarily invertible) in a Banach space, in discrete or continuous time. We provide applications to the backward heat equation with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbd37d171345b93a5031aaa50dd96940
https://doi.org/10.1090/tran/7923
https://doi.org/10.1090/tran/7923
Autor:
Panayotis Smyrnelis, Jacek Jendrej
Publikováno v:
Applied Mathematics Letters
Applied Mathematics Letters, Elsevier, In press
Applied Mathematics Letters, Elsevier, In press, 124, ⟨10.1016/j.aml.2021.107681⟩
Applied Mathematics Letters, Elsevier, In press
Applied Mathematics Letters, Elsevier, In press, 124, ⟨10.1016/j.aml.2021.107681⟩
In the scalar case, the nondegeneracy of heteroclinic orbits is a well-known property, commonly used in problems involving nonlinear elliptic, parabolic or hyperbolic P.D.E. On the other hand, Schatzman proved that in the vector case this assumption
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43f0ee5779bdb065adc131fcc660e71d
https://hal.archives-ouvertes.fr/hal-03365746
https://hal.archives-ouvertes.fr/hal-03365746
Autor:
Jacek Jendrej, Gong Chen
Publikováno v:
Nonlinear Analysis
Nonlinear Analysis, In press
Nonlinear Analysis, In press, 215, ⟨10.1016/j.na.2021.112643⟩
Nonlinear Analysis, In press
Nonlinear Analysis, In press, 215, ⟨10.1016/j.na.2021.112643⟩
We consider a scalar field equation in dimension $1+1$ with a positive external potential having non-degenerate isolated zeros. We construct weakly interacting pure multi-solitons, that is solutions converging exponentially in time to a superposition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93e48ec50f92efc83662736b1f09d1e4
https://hal.archives-ouvertes.fr/hal-03365781
https://hal.archives-ouvertes.fr/hal-03365781
Autor:
Jacek Jendrej, Andrew Lawrie
Publikováno v:
Mathematics Research Letters
Mathematics Research Letters, In press
Mathematics Research Letters, In press
We consider the energy-critical wave maps equation from 1+2 dimensional Minkowski space into the 2-sphere, in the equivariant case. We prove that if a wave map decomposes, along a sequence of times, into a superposition of at most two rescaled harmon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::866013bb12eabb2d2c702d2f71773a0e
https://hal.archives-ouvertes.fr/hal-03037087
https://hal.archives-ouvertes.fr/hal-03037087
Autor:
Jacek Jendrej
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :735-778
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fed02b938c7c9762b26e78ea4f66d774
https://doi.org/10.2422/2036-2145.201511_001
https://doi.org/10.2422/2036-2145.201511_001