Smoothing effect and regularity for evolution integrodifferential systems

Marián Slodička

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 2, page 303-316
  • ISSN: 0010-2628

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Slodička, Marián. "Smoothing effect and regularity for evolution integrodifferential systems." Commentationes Mathematicae Universitatis Carolinae 030.2 (1989): 303-316. <http://eudml.org/doc/17740>.

@article{Slodička1989,
author = {Slodička, Marián},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasilinear partial integrodifferential equations; hyperbolic; parabolic; smoothing effect; Rothe's method; weak solution; linear evolution integrodifferential system},
language = {eng},
number = {2},
pages = {303-316},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Smoothing effect and regularity for evolution integrodifferential systems},
url = {http://eudml.org/doc/17740},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Slodička, Marián
TI - Smoothing effect and regularity for evolution integrodifferential systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 2
SP - 303
EP - 316
LA - eng
KW - quasilinear partial integrodifferential equations; hyperbolic; parabolic; smoothing effect; Rothe's method; weak solution; linear evolution integrodifferential system
UR - http://eudml.org/doc/17740
ER -

References

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  1. Friedman A., Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliflfe, N.J., 1964. (1964) Zbl0144.34903MR0181836
  2. Henry D., Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math., 840, Springer-Verlag, Berlin, 1981. (1981) Zbl0456.35001MR0610244
  3. Kačur J., Application of Rothe's method to evolution integrodifferential equations, J. reine angew. Math. 388 (1988), 73-105. (1988) Zbl0638.65098MR0944184
  4. Kačur J., Method of Rothe in Evolution Equations, Teubner Texte zur Mathematik, 80, Leipzig, 1985. (1985) MR0834176
  5. Kufner A., John O., Fučík S., Function spaces, Academia, Prague, 1977. (1977) MR0482102
  6. Ladyženskaja O. A., Solonnikov V. A., Ural'ceva N. N., Linear and quasilinear equations of parabolic type, Nauka, Moscow, 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 R. E., Equations of parabolic type in Banach spaces, Trudy Moskov. Mat. Obsc. 10 (1961), 297-350 (Russian). (1961) MR0141900
  11. Slodička M., Application of Rothe's method to evolution integrodifferential systems, Comment. Math. Univ. Carolinae 30 (1989), 57-70. (1989) Zbl0674.65110MR0995701

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