Smoothing effect and regularity for linear parabolic equations

Jozef Kačur

Czechoslovak Mathematical Journal (1986)

  • Volume: 36, Issue: 4, page 564-585
  • ISSN: 0011-4642

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Kačur, Jozef. "Smoothing effect and regularity for linear parabolic equations." Czechoslovak Mathematical Journal 36.4 (1986): 564-585. <http://eudml.org/doc/13605>.

@article{Kačur1986,
author = {Kačur, Jozef},
journal = {Czechoslovak Mathematical Journal},
keywords = {existence; initial boundary value problem; growth; Orlicz-Sobolev spaces; Rothe's method; approximate solution; convergence},
language = {eng},
number = {4},
pages = {564-585},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Smoothing effect and regularity for linear parabolic equations},
url = {http://eudml.org/doc/13605},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Kačur, Jozef
TI - Smoothing effect and regularity for linear parabolic equations
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 4
SP - 564
EP - 585
LA - eng
KW - existence; initial boundary value problem; growth; Orlicz-Sobolev spaces; Rothe's method; approximate solution; convergence
UR - http://eudml.org/doc/13605
ER -

References

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  1. Friedman A., Partial Differential Equations, Holt, Rinehart and Winstone, 1969. (1969) Zbl0224.35002MR0445088
  2. Gajewski H., Gröger K., Zacharias K., Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1974. (1974) MR0636412
  3. Henry D., Geometrie Theory of Semilinear Parabolic Equations, Lecture Notes in Math., 840, Springer-Verlag, Berlin, 1981. (1981) MR0610244
  4. Kačur J., Application of Rothe's method to perturbed linear hypperbolic equations and variational inequalities, Czech. Math. J., 34 (109), 1984, 92-106. (1984) MR0731982
  5. Kufner A., John O., Fučík S., Function Spaces, Prague, Academia, 1977. (1977) MR0482102
  6. Ladyženskaja O. A., Solonnikov V. A., Ural'ceva N. N., Linear and quasilinear equations of parabolic type, Nauka, Moskva 1967 (Russian). (1967) MR0241822
  7. Lions J. L., Magenes E., Problèmes aux limites non homogènes et applications I, II, Dunod, Paris 1968. (1968) 
  8. Nečas J., Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
  9. Rektorys K., The Method of Discretization in Time and Partial Differential Equations, Reidel Publishing Company, Dordrecht-Boston-London, 1982. (1982) Zbl0522.65059MR0689712
  10. Sobolevskij P. E., Equations of parabolic type in Banach spaces, Trudy Moskov. Mat. Obšč., V-10, 1961, 297-350 (Russian). (1961) MR0141900
  11. Yosida K., Functional analysis, Springer-Verlag, Berlin-Gottingen-Heidelberg 1965. (1965) Zbl0126.11504
  12. Luskin M., Rannacher R., On smoothing property of the Galerkin method for parabolic equations, (Preprint). MR0646596

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