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

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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 
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     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/}
}
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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/