Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Jacobo Pejsachowicz"'
Autor:
Jacobo Pejsachowicz
Publikováno v:
Topological Methods in Nonlinear Analysis. :1-10
Assuming that there is a known (trivial) branch of solutions of a parameterized family of equations, topological bifurcation studies the topological invariants of the linearized equations along the trivial branch whose nonvanishing entails the appear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74b11734ffe9e960924e489914f843a9
https://doi.org/10.12775/tmna.2022.056
https://doi.org/10.12775/tmna.2022.056
Autor:
Jacobo Pejsachowicz, P. Fitzpatrick
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 12:1955-1975
By relating the set of branch points \begin{document}$ \mathcal{B} (f) $\end{document} of a Fredholm mapping \begin{document}$ f $\end{document} to linearized bifurcation, we show, among other things, that under mild local assumptions at a single poi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::90d9d1280e8ca9cc7125c769a3afed8e
https://doi.org/10.3934/dcdss.2019127
https://doi.org/10.3934/dcdss.2019127
Autor:
Jacobo Pejsachowicz
Publikováno v:
Journal of Fixed Point Theory and Applications. 17:43-64
We present three criteria for bifurcation from infinity of solu- tions of general boundary value problems for nonlinear elliptic systems of partial differential equations. Our sufficient conditions for bifurcation are computable, via the Atiyah-Singe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d29077d2c249dac6f16a4f98ee002f92
https://doi.org/10.1007/s11784-015-0237-0
https://doi.org/10.1007/s11784-015-0237-0
Autor:
Jacobo Pejsachowicz
Publikováno v:
Proceedings of the American Mathematical Society. 136:111-118
We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurcate from the stationary solution when the asymptotic stable bundles of the linearization at plus and minus infinity are “twisted” in different ways
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18e0de7ad406125c3753c9fafcce4dff
https://doi.org/10.1090/s0002-9939-07-09088-0
https://doi.org/10.1090/s0002-9939-07-09088-0
Publikováno v:
Mathematical and Computer Modelling. 32:1495-1501
To each path of self-adjoint Fredholm operators acting on a real separable Hilbert space H with invertible ends, there is associated an integer called spectral flow. The purpose of this brief note is to show that spectral flow is uniquely characteriz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab12e90b23bc8ff681ce11fc8c649a88
https://doi.org/10.1016/s0895-7177(00)00221-1
https://doi.org/10.1016/s0895-7177(00)00221-1
Publikováno v:
Journal of Functional Analysis. 162:52-95
Spectral flow is a well-known homotopy invariant of paths of selfadjoint Fredholm operators. We describe here a new construction of this invariant and prove the following theorem:Letψ;:I×U→Rbe aC2function on the product of a real intervalI=[a, b]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::354d88b17bdf2b3f2a52e5785a2315b2
https://doi.org/10.1006/jfan.1998.3366
https://doi.org/10.1006/jfan.1998.3366
Autor:
Jacobo Pejsachowicz, Patrick J. Rabier
Publikováno v:
Journal d'Analyse Mathématique. 76:289-319
We develop a degree theory forC 1 Fredholm mappings of index 0 between Banach spaces and Banach manifolds. As in earlier work devoted to theC 2 case, our approach is based upon the concept of parity of a curve of linear Fredholm operators of index 0.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da9bcaf7ba5bdb5dd2a0663047396c20
https://doi.org/10.1007/bf02786939
https://doi.org/10.1007/bf02786939
Autor:
Patrick J. Rabier, Jacobo Pejsachowicz
Publikováno v:
Journal d'Analyse Mathématique. 76:265-288
IfF is a Fredholm mapping of indexΝ ∃ ℤ and classCmax(Ν,0)+1 between separable Banach spaces, the Sard—Smale theorem yields the existence of arbitrarily small perturbations ofF having 0 as a regular value. The smoothness requirement cannot be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4bf58328e333db6cf7366dad758e7582
https://doi.org/10.1007/bf02786938
https://doi.org/10.1007/bf02786938
Publikováno v:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 325:743-747
To each path of strongly indefinite sellfadjoint Fredholm operators with invertible ends there is associated an integer called spectral flow. We develop a new approach to spectral flow which permits us to prove that for a one-parameter family of stro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::973e32fdd1cadafc3bedd25d2bcd0c58
https://doi.org/10.1016/s0764-4442(97)80052-3
https://doi.org/10.1016/s0764-4442(97)80052-3
Autor:
Jacobo Pejsachowicz, Nils Waterstraat
Given a continuous family of C^2 functionals of Fredholm type, we show that the non-vanishing of the spectral flow for the family of Hessians along a known (trivial) branch of critical points not only entails bifurcation of nontrivial critical points
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63617955912616b398771bf3c71b7b21
http://hdl.handle.net/11583/2513832
http://hdl.handle.net/11583/2513832
