Title:
|
Smoothing effect and regularity for linear parabolic equations (English) |
Author:
|
Kačur, Jozef |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
36 |
Issue:
|
4 |
Year:
|
1986 |
Pages:
|
564-585 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
35B65 |
MSC:
|
35K10 |
idZBL:
|
Zbl 0625.35046 |
idMR:
|
MR863188 |
DOI:
|
10.21136/CMJ.1986.102117 |
. |
Date available:
|
2008-06-09T15:12:47Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102117 |
. |
Reference:
|
[1] Friedman A.: Partial Differential Equations.Holt, Rinehart and Winstone, 1969. Zbl 0224.35002, MR 0445088 |
Reference:
|
[2] Gajewski H., Gröger K., Zacharias K.: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen.Akademie-Verlag, Berlin, 1974. MR 0636412 |
Reference:
|
[3] Henry D.: Geometrie Theory of Semilinear Parabolic Equations.Lecture Notes in Math., 840, Springer-Verlag, Berlin, 1981. MR 0610244 |
Reference:
|
[4] Kačur J.: Application of Rothe's method to perturbed linear hypperbolic equations and variational inequalities.Czech. Math. J., 34 (109), 1984, 92-106. MR 0731982 |
Reference:
|
[5] Kufner A., John O., Fučík S.: Function Spaces.Prague, Academia, 1977. MR 0482102 |
Reference:
|
[6] Ladyženskaja O. A., Solonnikov V. A., Ural'ceva N. N.: Linear and quasilinear equations of parabolic type.Nauka, Moskva 1967 (Russian). MR 0241822 |
Reference:
|
[8] Lions J. L., Magenes E.: Problèmes aux limites non homogènes et applications I, II.Dunod, Paris 1968. |
Reference:
|
[7] Nečas J.: Les méthodes directes en théorie des équations elliptiques.Academia, Prague 1967. MR 0227584 |
Reference:
|
[9] Rektorys K.: The Method of Discretization in Time and Partial Differential Equations.Reidel Publishing Company, Dordrecht-Boston-London, 1982. Zbl 0522.65059, MR 0689712 |
Reference:
|
[10] Sobolevskij P. E.: Equations of parabolic type in Banach spaces.Trudy Moskov. Mat. Obšč., V-10, 1961, 297-350 (Russian). MR 0141900 |
Reference:
|
[11] Yosida K.: Functional analysis.Springer-Verlag, Berlin-Gottingen-Heidelberg 1965. Zbl 0126.11504 |
Reference:
|
[12] Luskin M., Rannacher R.: On smoothing property of the Galerkin method for parabolic equations.(Preprint). MR 0646596 |
. |