Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The main object of this paper is to study the regularity with respect to the parameter h of solutions of the problem $du/dt + A_h(t)u(t) = f_h(t)$, $u(0)=u_h^0$. The continuity of u with respect to both h and t has been considered in [6].
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
311-317
Opis fizyczny
Daty
wydano
1992
otrzymano
1991-06-20
Twórcy
autor
- Institute of Mathematics Technical University of Cracow Warszawska 24 31-155 Kraków, Poland
Bibliografia
- [1] D. Henry, Geometric Theory of Semilinear Parabolic Equations, Springer, 1981.
- [2] T. Kato, Perturbation Theory for Linear Operators, Springer, 1966.
- [3] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, 1983.
- [4] P. E. Sobolevskiĭ, On equations of parabolic type in a Banach space, Trudy Moskov. Mat. Obshch. 10 (1986), 297-350 (in Russian).
- [5] H. Tanabe, Equations of Evolution, Pitman, 1979.
- [6] T. Winiarska, Parabolic equations with coefficients depending on t and parameters, Ann. Polon. Math. 51 (1990), 325-339.
- [7] T. Winiarska, Evolution equation with parameter, Univ. Iag. Acta Math. 28 (1987), 219-227.
- [8] T. Winiarska, Differential Equations with Parameters, Monograph 68, Technical University of Cracow, 1988.
- [9] K. Yosida, Functional Analysis, Springer, 1980.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-apmv56z3p311bwm