Abstract
Linear elliptic boundary-value problems with a parameter are studied. The Agranovich-Vishik method and specially introduced function spaces allow us to consider mixed-order problems in unbounded domains. We obtain a priori estimates and unique solvability for large values of the parameter. These results are used to study analytic semi-groups and Fredholm property of general elliptic problems in unbounded domains.
Citation
A. Volper. V. Volpert. "Elliptic problems with a parameter in unbounded domains." Adv. Differential Equations 12 (5) 573 - 600, 2007. https://doi.org/10.57262/ade/1367241437
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