Partial differential equations (2) |
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Teaching Staff in Charge |
Prof. PRECUP Radu, Ph.D., r.precup@math.ubbcluj.ro Prof. TRIF Damian, Ph.D., dtrif@math.ubbcluj.ro Assoc.Prof. BEGE Antal, Ph.D., bege@math.ubbcluj.ro |
Aims |
Improvement of the working methods in Sobolev spaces in view of
the study of nonlinear boundary value problems. |
Content |
Distributions; Sobolev spaces; Fourier transform; Generalized solutions
to elliptic problems; Regularity results. Maximum principles. Eigenvalues and eigenfunctions. Semilinear elliptic problems. |
References |
1. Adams, R.A., Sobolev spaces, Academic Press, 1975.
2. Barbu, V., Probleme la limita pentru ecuatii cu derivate partiale, Ed. Acad. Române, Bucuresti, 1993. 3. Debnat, L., Non-linear partial differential equations for scientists and engineers, Birkhauser, Berlin, 1997. 4. Gilbarg, D., Trudinger, N.S., Elliptic partial differential equations of second order, Springer, Berlin, 1983. 5. O'Regan, D., Precup, R., Theorems of Leray-Schauder Type and Applications, Gordon and Breach, Amsterdam, 2001. 6. Precup, R., Ecuatii cu derivate partiale, Transilvania Press, Cluj, 1997. 7. Rauch, J., Partial differential equations, Springer, Berlin, 1991. 8. Szilágyi P., Másodrendu parciális differenciálegyenletek, BBTE, Kolozsvár, 1998. 9. Vladimirov, V.S., Ecuatiile fizicii matematice, Ed. St. Enc., Bucuresti, 1981 (Bevezetés a parciális differenciálegyenletek elméletébe, Muszaki Kiadó, Budapest, 1980). 10. Trif, D., Ecuatii cu derivate partiale, UBB, Cluj, 1993. |
Assessment |
Exam. |