Universitatea "Babeş-Bolyai" din Cluj-Napoca

Facultatea de Matematică şi Informatică
FISA DISCIPLINEI

Capitole speciale de ecuaţii cu derivate parţiale Selected topics of partial differential equations
Cod
Semes-
trul
Ore: C+S+L
Credite
Tipul
Sectia
ME006
8
2+2+0
8
optionala
Matematică-Informatică
(Mathematics-Computer Science)
Cadre didactice indrumatoare Teaching Staff in Charge
Prof. Dr. PRECUP Radu, r.precup@math.ubbcluj.ro
Prof. Dr. SZILAGYI Paul, szilagyp@cs.ubbcluj.ro
Obiective Aims
Asimilarea unor metode actuale din teoria ecuatiilor cu derivate partiale.
To asimilate the main methods in the theory of partial differential equations.
Continut

Bibliografie
1. Adams, R.A., Sobolev spaces. Academic Press, 1975.
2. Deimling, K., Nonlinear functional analysis. Springer, Berlin-Heidelberg-New-York-Tokyo, 1985.
3. Gilbarg, D., Trudinger, N.S., Elliptic partial differential equations of second order. Springer, Berlin, 1983.
4. Chebrowski, I., Variational methods for potential operator equations with applications to nonlinear elliptic equations. W. de Gruyter Studies in Mathematics. 24. Berlin, 1997.
5. Pascali, D., Sburlan, S., Nonlinear mappings of monotone type. Ed. Acad. And Sijthoff & Noorhoff, Bucuresti, Alphen, 1978.
6. Pascali, D., Topological methods in nonlinear analysis. Lecture notes in Mathematics, Univ. Constanta-New-York University, Courant Institute, 2001.
7. Precup, R., Ecuatii integrale neliniare. UBB Cluj, 1993.
8. Sburlan, S., Topological and functional methods for partial differential equations. Univ. Constanta, 1985.
9. Szilágyi P., Elliptic systems with discontinuous nonlinearity. Studia UBB, Math. XXXIX.4.1994, p. 11-20.
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