- 11-157 Vitali Vougalter, Vitaly Volpert
- Solvability conditions for some linear and nonlinear non-Fredholm
elliptic problems
(230K, pdf)
Oct 17, 11
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Abstract. We obtain solvability conditions in H^2 for some elliptic equations in
cylindrical domains using the methods of spectral theory and scattering
theory for Schroedinger type operators. We prove the existence of standing solitary waves in H^2 for some nonlinear equations. Both linear
and nonlinear problems involve second order differential operators without Fredholm property.
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