Geodesic
On some singular systems of parabolic functional equations
Mathematica Bohemica, Tome 135 (2010) no. 2, pp. 123-132

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
We will prove existence of weak solutions of a system, containing non-local terms $u$, $w$. \endabstract
We will prove existence of weak solutions of a system, containing non-local terms $u$, $w$. \endabstract
DOI : 10.21136/MB.2010.140689
Classification : 35R10
Keywords: parabolic functional equation; singular system; monotone type operator 
Simon, László. On some singular systems of parabolic functional equations. Mathematica Bohemica, Tome 135 (2010) no. 2, pp. 123-132. doi: 10.21136/MB.2010.140689
@article{10_21136_MB_2010_140689,
     author = {Simon, L\'aszl\'o},
     title = {On some singular systems of parabolic functional equations},
     journal = {Mathematica Bohemica},
     pages = {123--132},
     year = {2010},
     volume = {135},
     number = {2},
     doi = {10.21136/MB.2010.140689},
     mrnumber = {2723079},
     zbl = {1224.35414},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140689/}
}
TY  - JOUR
AU  - Simon, László
TI  - On some singular systems of parabolic functional equations
JO  - Mathematica Bohemica
PY  - 2010
SP  - 123
EP  - 132
VL  - 135
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140689/
DO  - 10.21136/MB.2010.140689
LA  - en
ID  - 10_21136_MB_2010_140689
ER  - 
%0 Journal Article
%A Simon, László
%T On some singular systems of parabolic functional equations
%J Mathematica Bohemica
%D 2010
%P 123-132
%V 135
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140689/
%R 10.21136/MB.2010.140689
%G en
%F 10_21136_MB_2010_140689

[1] Adams, R. A.: Sobolev Spaces. Academic Press, New York (1975). | MR | Zbl

[2] Amann, H.: Highly degenerate quasilinear parabolic systems. Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 18 (1991), 136-166. | MR | Zbl

[3] Berkovits, J., Mustonen, V.: Topological degreee for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems. Rend. Mat. Appl. VII. 12 (1992), 597-621. | MR

[4] Cinca, S.: Diffusion und Transport in porösen Medien bei veränderlichen Porosität. Diplomawork, Univ. Heidelberg (2000).

[5] Hu, Bei, Zhang, Jianhua: Global existence for a class of non-Fickian polymer-penetrant systems. J. Part. Diff. Eq. 9 (1996), 193-208. | MR

[6] Logan, J. D., Petersen, M. R., Shores, T. S.: Numerical study of reaction-mineralogy-porosity changes in porous media. Appl. Math. Comput. 127 (2002), 149-164. | DOI | MR | Zbl

[7] Merkin, J. H., Needham, D. J., Sleeman, B. D.: A mathematical model for the spread of morphogens with density dependent chemosensitivity. Nonlinearity 18 (2005), 2745-2773. | DOI | MR | Zbl

[8] Rivière, B., Shaw, S.: Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers. SIAM J. Numer. Anal. 44 (2006), 2650-2670. | DOI | MR | Zbl

[9] Simon, L., Jäger, W.: On non-uniformly parabolic functional differential equations. Stud. Sci. Math. Hung. 45 (2008), 285-300. | MR | Zbl

[10] Simon, L.: Application of monotone type operators to parabolic and functional parabolic PDE's. Handbook of Differential Equations. Evolutionary Equations, Vol. 4, Elsevier (2008), 267-321. | DOI | MR

[11] Zeidler, E.: Nonlinear Functional Analysis and Its Applications II A and II B. Springer (1990). | MR

Cité par Sources :