Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Toshitaka Matsumoto"'
Publikováno v:
Dissertationes Mathematicae.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d397b7064d8956cc13b5e1773e672a9d
https://doi.org/10.4064/dm836-10-2021
https://doi.org/10.4064/dm836-10-2021
Autor:
Naoki Tanaka, Toshitaka Matsumoto
Publikováno v:
Nonlinear Analysis. 162:91-112
The solvability of the abstract Cauchy problem for the quasilinear evolution equation u ′ ( t ) = A ( u ( t ) ) u ( t ) for t > 0 and u ( 0 ) = u 0 ∈ D is discussed. Here { A ( w ) ; w ∈ Y } is a family of closed linear operators in a real Bana
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2dc060e79489085ef97c7f3356aee42
http://hdl.handle.net/10297/00026506
http://hdl.handle.net/10297/00026506
Autor:
Naoki Tanaka, Toshitaka Matsumoto
Publikováno v:
Journal of Mathematical Analysis and Applications. 435:267-285
We discuss the solvability of the abstract Cauchy problem u ′ ( t ) = A u ( t ) for t > 0 and u ( 0 ) = u 0 ∈ D , where D is a weakly closed subset of a Banach space Y continuously embedded in the underlying Banach space X and A is a nonlinear op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af8a88fa41ed11b9cf792d386c1a79e0
https://doi.org/10.1016/j.jmaa.2015.10.027
https://doi.org/10.1016/j.jmaa.2015.10.027
Autor:
Naoki Tanaka, Toshitaka Matsumoto
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 84:146-175
This paper studies nonlinear perturbation of a holomorphic semigroup of growth order α in a Banach space X . The generator A of a holomorphic semigroup is assumed to be almost sectorial and it is also assumed that the part A 0 in the closure X 0 of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cfd9da1b4bc85ff8e78fdc16d4a688c
https://doi.org/10.1016/j.na.2013.02.016
https://doi.org/10.1016/j.na.2013.02.016
Autor:
Toshitaka Matsumoto, Naoki Tanaka
Publikováno v:
Journal of Approximation Theory. 163(9):1217-1237
A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type is discussed under a new type of stability condition which admits “error term”. The result obtained here is applied to showin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb50a565fb8791a1a990dc4c45d57e38
http://hdl.handle.net/10297/6171
http://hdl.handle.net/10297/6171
Autor:
Toshitaka Matsumoto, Naoki Tanaka
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 69:4025-4054
A characterization problem is discussed, of semigroups of locally Lipschitz operators providing mild solutions to the Cauchy problem for the semilinear evolution equation of parabolic type u ′ ( t ) = ( A + B ) u ( t ) for t > 0 . By parabolic type
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dcc72a07807930b4cda3446688289a02
https://doi.org/10.1016/j.na.2007.10.035
https://doi.org/10.1016/j.na.2007.10.035
Publikováno v:
Nonlinear Analysis: Real World Applications. 9:1905-1917
This paper deals with a nonlinear semigroup approach to semilinear initial-boundary value problems which model nonlinear age structured proliferating cell population dynamics. The model involves age-dependence and cell cycle length, and boundary cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10add709f6e286e6ea1ba73a9518ecda
https://doi.org/10.1016/j.nonrwa.2007.06.002
https://doi.org/10.1016/j.nonrwa.2007.06.002
Publikováno v:
Nonlinear Analysis: Real World Applications. 1:223-245
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f563438a6a5052b492f8b7d4e6c763bf
https://doi.org/10.1016/s0362-546x(99)00211-4
https://doi.org/10.1016/s0362-546x(99)00211-4
Autor:
Naoki Tanaka, Toshitaka Matsumoto
Publikováno v:
Taiwanese J. Math. 11, no. 2 (2007), 295-337
In this paper we study the abstract Cauchy problem for quasi-linear evolution equation $u'(t) = A(u(t)) u(t)$, where $\{ A(w); w \in W \}$ is a family of closed linear operators in a real Banach space $X$ such that $D(A(w)) = Y$ for $w \in W$, and $W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc204e1ae39398f73d97ce96d2cf214b
http://projecteuclid.org/euclid.twjm/1500404692
http://projecteuclid.org/euclid.twjm/1500404692
Publikováno v:
Functional Analysis and Evolution Equations ISBN: 9783764377939
This paper is concerned with time-dependent relatively continuous perturbations of analytic semigroups and applications to convective reaction-diffusion systems. A general class of time-dependent semilinear evolution equations of the form u t = (A +
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76646e0d85bd1fd573478a9ec6517b7a
https://doi.org/10.1007/978-3-7643-7794-6_29
https://doi.org/10.1007/978-3-7643-7794-6_29