Genni Fragnelli, Gisele Ruiz Goldstein,
Jerome A. Goldstein, Silvia Romanelli
Abstract:
We consider operators in divergence and in nondivergence form with
degeneracy at the interior of the space domain. Characterizing the
domain of the operators, we prove that they generate positive
analytic semigroups on spaces of L^2 type. Finally, some
applications to linear and semilinear parabolic evolution problems
and to linear hyperbolic ones are presented.
Submitted September 6, 2012. Published October 31, 2012.
Math Subject Classifications: 47D06, 35K65, 47B25, 47N20.
Key Words: Degenerate operators in divergence and non divergence form;
linear and semiliner parabolic equations; linear hyperbolic equations.
Show me the PDF file (388 KB), TEX file, and other files for this article.
 |
Genni Fragnelli Dipartimento di Matematica Universit&aagrave; di Bari "Aldo Moro" Via E. Orabona 4, 70125 Bari, Italy email: genni.fragnelli@uniba.it |
|---|---|
 |
Giséle Ruiz Goldstein Department of Mathematical Sciences University of Memphis, Memphis, TN 38152, USA email: ggoldste@memphis.edu |
 |
Jerome A. Goldstein Department of Mathematical Sciences University of Memphis, Memphis, TN 38152, USA email: jgoldste@memphis.edu |
 |
Silvia Romanelli Dipartimento di Matematica Università di Bari ``Aldo Moro'' Via E. Orabona 4, 70125 Bari, Italy email: silvia.romanelli@uniba.it |
Return to the EJDE web page