Geodesic
Some generic properties of nonlinear second order diffusional type problem
Archivum mathematicum, Tome 35 (1999) no. 3, pp. 229-244.

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

We are interested of the Newton type mixed problem for the general second order semilinear evolution equation. Applying Nikolskij’s decomposition theorem and general Fredholm operator theory results, the present paper yields sufficient conditions for generic properties, surjectivity and bifurcation sets of the given problem.
Classification : 35G10, 35K55, 47A53, 47F05, 47J05, 47J15, 47N20, 58J35
Keywords: Fredholm operator; Hölder space; bifurcation set; parabolic type operator; locally invertible operator 
@article{ARM_1999__35_3_a3,
     author = {\v{D}urikovi\v{c}, Vladim{\'\i}r and \v{D}urikovi\v{c}ov\'a, M\'aria},
     title = {Some generic properties of nonlinear second order diffusional type problem},
     journal = {Archivum mathematicum},
     pages = {229--244},
     publisher = {mathdoc},
     volume = {35},
     number = {3},
     year = {1999},
     mrnumber = {1725840},
     zbl = {1046.35016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1999__35_3_a3/}
}
TY  - JOUR
AU  - Ďurikovič, Vladimír
AU  - Ďurikovičová, Mária
TI  - Some generic properties of nonlinear second order diffusional type problem
JO  - Archivum mathematicum
PY  - 1999
SP  - 229
EP  - 244
VL  - 35
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_1999__35_3_a3/
LA  - en
ID  - ARM_1999__35_3_a3
ER  - 
%0 Journal Article
%A Ďurikovič, Vladimír
%A Ďurikovičová, Mária
%T Some generic properties of nonlinear second order diffusional type problem
%J Archivum mathematicum
%D 1999
%P 229-244
%V 35
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_1999__35_3_a3/
%G en
%F ARM_1999__35_3_a3
Ďurikovič, Vladimír; Ďurikovičová, Mária. Some generic properties of nonlinear second order diffusional type problem. Archivum mathematicum, Tome 35 (1999) no. 3, pp. 229-244. http://geodesic.mathdoc.fr/item/ARM_1999__35_3_a3/