On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property
John, Oldřich ; Stará, Jana
Commentationes Mathematicae Universitatis Carolinae, Tome 025 (1984), p. 445-457 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1984-01-01
Classification:  35B65,  35D10,  35K15,  35K55 
@article{106319,
     author = {Old\v rich John and Jana Star\'a},
     title = {On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {025},
     year = {1984},
     pages = {445-457},
     zbl = {0562.35048},
     mrnumber = {775563},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106319}
}

John, Oldřich; Stará, Jana. On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property. Commentationes Mathematicae Universitatis Carolinae, Tome 025 (1984) pp. 445-457. http://gdmltest.u-ga.fr/item/106319/

S. Campanato Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth, Rend. Sem. Mat. Univ. Padova, Vol. 64 (1981), 60-75. (1981) | MR 0636626 | Zbl 0496.35012

M. Giaquinta E. Giusti Partial regularity for the solutions to nonlinear parabolic systems, Annali di Matematica Pura ed Appl. 97 (1973), 253-266. (1973) | MR 0338568

M. Giaquinta M. Struwe On the partial regularity of weak solutions of nonlinear parabolic systems, Math. Z. 179 (1982), 437-451. (1982) | MR 0652852

M. Struwe A counterexample in regularity theory for parabolic systems, Czech. Math. Journal (to appear). | MR 0743484 | Zbl 0573.35053

M. Giaquinta J. Nečas On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property, Comment. Math. Univ. Carolinae 20 (1979), 111-121. (1979) | MR 0526152

M. Giaquinta J. Nečas On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations, J. reine angew. Math. 316 (1980), 140-159. (1980) | MR 0581329

M. Giaquinta J. Nečas O. John J. Stará On the regularity up to the boundary for second order nonlinear elliptic systems, Pacific J. of Math. 99 (1982), 1-17. (1982) | MR 0651482

B. Kawohl On Liouville theorems, continuity and Hölder continuity of weak solution to some quasillnear elliptic systems, Comment. Math. Univ. Carolinae 21 (1980), 679-697. (1980) | MR 0597758

S. Hildebrandt K. O. Widman Sätze von Liouvillesohen Typ für quasilineare elliptisohe Gleichungen und Systeme, Nach. Akad. Wiss. Göttingen, II. Math. Klasse, 4 (1979), 41-59. (1979) | MR 0568802

M. Meier Liouville theorems for nonlinear elliptic equations and systems, Manuscripta Math. 29 (1979), 207-228. (1979) | MR 0545042 | Zbl 0426.35034

M. Meier Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions, Math. Z. 176 (1981), 123-133. (1981) | MR 0606175 | Zbl 0454.35034

O. John The interior regularity and the Liouville property for the quasilinear parabolio systems, Comment. Math. Univ. Carolinae 13 (1982), 685-690. (1982) | MR 0687563