Geodesic
On the Defining Boundary Conditions of Elliptic Boundary Value Problems with a Small Parameter at the Highest Derivatives
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 87-94 
S. A. Golopuz. On the Defining Boundary Conditions of Elliptic Boundary Value Problems with a Small Parameter at the Highest Derivatives. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 87-94. http://geodesic.mathdoc.fr/item/TM_2002_236_a9/
@article{TM_2002_236_a9,
     author = {S. A. Golopuz},
     title = {On the {Defining} {Boundary} {Conditions} of {Elliptic} {Boundary} {Value} {Problems} with {a~Small} {Parameter} at the {Highest} {Derivatives}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {87--94},
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     volume = {236},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a9/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The concepts of associated and defining boundary conditions are introduced for elliptic boundary value problems with a small parameter at the highest derivatives. An explicit expression is obtained for the associated boundary conditions in the case when the difference between the orders of the perturbed and degenerate equations is equal to 4. Theorems on asymptotic expansion are proved.

[1] Vishik M. I., Lyusternik L. A., “Regulyarnoe vyrozhdenie i pogranichnyi sloi dlya lineinykh differentsialnykh uravnenii s malym parametrom”, UMN, 12:5 (1957), 3–122 | MR | Zbl