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Solvability conditions for elliptic problems with non-Fredholm operators

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Volpert V., Kaźmierczak B., Massot M., Peradzyński Z.

Applicationes Mathematicae

2002

tom 29

nr 2

219-238

The paper is devoted to solvability conditions for linear elliptic problems with non-Fredholm operators. We show that the operator becomes normally solvable with a finite-dimensional kernel on properly chosen subspaces. In the particular case of a scalar equation we obtain necessary and sufficient solvability conditions. These results are used to apply the implicit function theorem for a nonlinear elliptic problem; we demonstrate the persistence of travelling wave solutions to spatially periodic perturbations.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Kaźmierczak B.

1 Massot M.

1 Peradzyński Z.

1 Volpert V.

1 2002

Wyniki wyszukiwania

Solvability conditions for elliptic problems with non-Fredholm operators