Geodesic
On solvability of H.~Amann's problem in H\"older spaces
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Tome 295 (2003), pp. 18-56

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We prove local (in time) unique solvability of the nonlinear Amann problem in Hölder spaces of functions. Solution estimates are obtained in these spaces. 
@article{ZNSL_2003_295_a1,
     author = {G. I. Bizhanova},
     title = {On solvability of {H.~Amann's} problem in {H\"older} spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {18--56},
     publisher = {mathdoc},
     volume = {295},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_295_a1/}
}
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G. I. Bizhanova. On solvability of H.~Amann's problem in H\"older spaces. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Tome 295 (2003), pp. 18-56. http://geodesic.mathdoc.fr/item/ZNSL_2003_295_a1/