# Regularity of solutions of parabolic equations with coefficients depending on t and parameters

Annales Polonici Mathematici (1992)

- Volume: 56, Issue: 3, page 311-317
- ISSN: 0066-2216

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topT. Winiarska. "Regularity of solutions of parabolic equations with coefficients depending on t and parameters." Annales Polonici Mathematici 56.3 (1992): 311-317. <http://eudml.org/doc/262470>.

@article{T1992,

abstract = {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].},

author = {T. Winiarska},

journal = {Annales Polonici Mathematici},

language = {eng},

number = {3},

pages = {311-317},

title = {Regularity of solutions of parabolic equations with coefficients depending on t and parameters},

url = {http://eudml.org/doc/262470},

volume = {56},

year = {1992},

}

TY - JOUR

AU - T. Winiarska

TI - Regularity of solutions of parabolic equations with coefficients depending on t and parameters

JO - Annales Polonici Mathematici

PY - 1992

VL - 56

IS - 3

SP - 311

EP - 317

AB - 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].

LA - eng

UR - http://eudml.org/doc/262470

ER -

## References

top- [1] D. Henry, Geometric Theory of Semilinear Parabolic Equations, Springer, 1981. Zbl0456.35001
- [2] T. Kato, Perturbation Theory for Linear Operators, Springer, 1966. Zbl0148.12601
- [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. Zbl0738.35020
- [7] T. Winiarska, Evolution equation with parameter, Univ. Iag. Acta Math. 28 (1987), 219-227. Zbl0673.47035
- [8] T. Winiarska, Differential Equations with Parameters, Monograph 68, Technical University of Cracow, 1988.
- [9] K. Yosida, Functional Analysis, Springer, 1980.

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