Nonlinear Parabolic Equations with Singularities in Colombeau Vector Spaces

Author:

Stojanović Mirjana

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference19 articles.

1. Langlais, M.: Generalized functions solutions of monotone and semilinear parabolic equations. Monatsh. Math., 110, 117–136 (1990)

2. Biagioni, H. A., Caddedu, L., Gramchev, T.: Semilinear parabolic equations with singular initial data in anisotropic weighted spaces. Diff. and Int. Eqns., 12(5), 613–636 (1999)

3. Biagioni, H. A., Caddedu, L., Gramchev, T.: Parabolic equations with conservative nonlinear term and singular initial data, Proc. of the II world Congress of Nonlinear Analysis. TMA, 30(4), 2489–2496 (1997)

4. Nedeljkov, M., Pilipovć, S., Rajter, D.: Heat equation with singular potential and singular data, Proc. Edinl. Math. Soc., 2005

5. Colombeau, J. F., Heibig, A., Oberguggenberger, M.: Generalized solutions to partial differential equations of evolution type. Acta Appl. Math., 45, 115–142 (1996)

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