A maximum principle for nonlinear parabolic equations

D. G. Aronson; James Serrin

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1967)

  • Volume: 21, Issue: 2, page 291-305
  • ISSN: 0391-173X

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Aronson, D. G., and Serrin, James. "A maximum principle for nonlinear parabolic equations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.2 (1967): 291-305. <http://eudml.org/doc/83424>.

@article{Aronson1967,
author = {Aronson, D. G., Serrin, James},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {2},
pages = {291-305},
publisher = {Scuola normale superiore},
title = {A maximum principle for nonlinear parabolic equations},
url = {http://eudml.org/doc/83424},
volume = {21},
year = {1967},
}

TY - JOUR
AU - Aronson, D. G.
AU - Serrin, James
TI - A maximum principle for nonlinear parabolic equations
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1967
PB - Scuola normale superiore
VL - 21
IS - 2
SP - 291
EP - 305
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83424
ER -

References

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  1. [1]. D.G. AronsonSERRIN, Local behavior of solictions of quasi-linear parabotic equations, Archive Rational Mechanics and Analysis, 25 (1967), 81-122. Zbl0154.12001MR244638
  2. [2] A.B. Ivanov, O.A. Ladyzhenskaya, L.A. Treskunov, and N.N. Uralceva, Certain properties of generalized sotutions of Second order parabolic equations, Doklady Akad. Nauk SSSR.168 (1966), pp. 17-20. Zbl0152.10704MR196285
  3. [3] O.A. Ladyzhenskaya and N.N. Uralceva, A boundary value problem for linear and quasilinear parabolic equations I, Izvestija Akademii Nauk SSSR, Serija Matemati ceskaya, 26 (1962), 5-52; II, 26 (1962) 753-780. Zbl0149.31301
  4. [4] J. Moser, A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations, Communications on Pure and Applied Mathematics, 13 (1960) 457-468. Zbl0111.09301MR170091
  5. [5] J. Moser, On Harnack's theorem for elliptic differential equationsCommunications on Pure and Applied Mathematics, 14 (1961), 577-591. Zbl0111.09302MR159138
  6. [6] J. Moser, A Harnack inequality for parabolic differential equations, Communications on Pure and Applied Mathematics, 17 (1964), 101-134. Zbl0149.06902MR159139
  7. [7] J. Serrin, Local behavior of solutions of quasi-linear equations, Acta Mathematica, 111 (1964), 247-302. Zbl0128.09101MR170096
  8. [8] J. Serrin, Isolated singularities of solutions of quasi-linear equations, Acta Mathematic a113 (1965), 219-240. Zbl0173.39202MR176219
  9. [9] W. Walter, Differential und Integral Ungleichungen, Springer-Verlag, Berlin, 1964. MR172076

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