Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Peer Christian Kunstmann"'
Publikováno v:
Czechoslovak Mathematical Journal. 71:709-742
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic fourth order nonlinear Schr\"odinger equation with initial data $u_{0}\in X$, where $X\in\{M_{2,q}^{s}(\mathbb R), H^{\sigma}(\mathbb T), H^{s_{1}}(\mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c1dae0ea13c09bc6c608835d308fc08
https://doi.org/10.21136/cmj.2021.0078-20
https://doi.org/10.21136/cmj.2021.0078-20
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :34
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40eff3b562ddecb52253da811972bb94
https://doi.org/10.2422/2036-2145.202109_011
https://doi.org/10.2422/2036-2145.202109_011
Publikováno v:
SIAM Journal on Imaging Sciences. 13:2250-2280
The three-dimensional elliptic Radon transform (eRT) averages distributions over ellipsoids of revolution. It thus serves as a linear model in seismic imaging where one wants to recover the earth's...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84ad56868b07c9d356293e0b723f6224
https://doi.org/10.1137/20m1332657
https://doi.org/10.1137/20m1332657
Autor:
Gerd Herzog, Peer Christian Kunstmann
Publikováno v:
The American Mathematical Monthly. 126:449-454
We prove a version of Korovkin’s theorem for functionals that is well suited to obtain limits for integrals of mean values and has applications to limits of certain box integrals.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cd585fb63357213eaa766f4addc4e89
https://doi.org/10.1080/00029890.2019.1577670
https://doi.org/10.1080/00029890.2019.1577670
Autor:
Peer Christian Kunstmann
Publikováno v:
Semigroup Forum. 98:645-668
We introduce modulation type spaces associated with the generators of polynomially bounded groups. Besides strongly continuous groups we study in detail the case of bi-continuous groups, e.g. weak $$^*$$ -continuous groups in dual spaces. It turns ou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::768743140a7527d7e2bc039e067a465d
https://doi.org/10.1007/s00233-019-10016-1
https://doi.org/10.1007/s00233-019-10016-1
On the global well-posedness of the quadratic NLS on $$H^1({{\mathbb {T}}}) + L^2({{\mathbb {R}}})$$
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 28
We study the one dimensional nonlinear Schrodinger equation with power nonlinearity $$\left| u \right| ^{\alpha - 1} u$$ for $$\alpha \in [1,5]$$ and initial data $$u_0 \in H^1({{\mathbb {T}}}) + L^2({{\mathbb {R}}})$$ . We show via Strichartz estima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87882a2a4d47867e484d6159f7e9cc7c
https://doi.org/10.1007/s00030-020-00670-8
https://doi.org/10.1007/s00030-020-00670-8
Autor:
Peer Christian Kunstmann
Publikováno v:
Journal of evolution equations, 21, 3503–3520
Starting from a bi-continuous semigroup in a Banach space X (which might actually be strongly continuous), we investigate continuity properties of the semigroup that is induced in real interpolation spaces between X and the domain D(A) of the generat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e437965f301ecc8300e2c5f4863f4d88
Publikováno v:
SIAM Journal on Mathematical Analysis. 51:3714-3749
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrodinger equation in one dimension with initial data $u_{0}$ in $H^{s_{1}}(\mathbb{R})...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::670307aa2dfee4f93f26a95c2e7e8271
https://doi.org/10.1137/19m1249679
https://doi.org/10.1137/19m1249679
Publikováno v:
Journal of Mathematical Fluid Mechanics. 20:1093-1121
We prove the existence of the Helmholtz decomposition $$ L^q(\Omega _{\mathrm {p}},\mathbb {C}^d)=L_\sigma ^q(\Omega _{\mathrm {p}})\oplus G^q(\Omega _{\mathrm {p}})$$ for periodic domains $$\Omega _{\mathrm {p}}\subseteq \mathbb {R}^d$$ with respect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a9f8ee74e75944d62547d3d95656f6d
https://doi.org/10.1007/s00021-017-0356-z
https://doi.org/10.1007/s00021-017-0356-z