Autore	Kozlov Vladimir <1954->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [1997]
Descrizione fisica	1 online resource (426 p.)
Disciplina	515/.353
Collana	Mathematical surveys and monographs
Soggetto topico	Differential equations, Elliptic Boundary value problems Singularities (Mathematics)
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Introduction""; ""Part 1. Elliptic boundary value problems in domains with smooth boundary""; ""Chapter 1. Boundary value problems for ordinary differential equations on the half-axis""; ""1.1. The boundary value problem and its formally adjoint""; ""1.2. Solvability of the boundary value problem on the half-axis""; ""1.3. Solvability of regular problems on the half-axis in Sobolev spaces of negative order""; ""1.4. Properties of the operator adjoint to the operator of the boundary value problem""; ""Chapter 2. Elliptic boundary value problems in the half-space"" ""2.1. Periodic solutions of partial differential equations""""2.2. Solvability of elliptic boundary value problems in the half-space""; ""2.3. Solvability of elliptic boundary value problems in the half-space in Sobolev spaces of arbitrary integer order""; ""Chapter 3. Elliptic boundary value problems in smooth domains""; ""3.1. The boundary value problem and its formally adjoint""; ""3.2. An a priori estimate for the solution""; ""3.3. The adjoint operator""; ""3.4. Solvability of elliptic boundary value problems in smooth domains""; ""3.5. The Green function of the boundary value problem"" ""3.6. Elliptic boundary value problems with parameter""""Chapter 4. Variants and extensions""; ""4.1. Elliptic problems with boundary operators of higher order in a smooth bounded domain""; ""4.2. Boundary value problems for elliptic systems of differential equations""; ""4.3. Boundary value problems in the variational form""; ""4.4. Further results""; ""4.5. Notes""; ""Part 2. Elliptic problems in domains with conical points""; ""Chapter 5. Elliptic boundary value problems in an infinite cylinder"" ""5.1. Operator-valued polynomials and applications to ordinary differential equations with operator coefficients""""5.2. Solvability of the model problem in an infinite cylinder""; ""5.3. Solvability of the model problem in the cylinder in Sobolev spaces of negative order""; ""5.4. Asymptotics of the solution of the model problem at infinity""; ""5.5. The boundary value problem with coefficients which stabilize at infinity""; ""Chapter 6. Elliptic boundary value problems in domains with conical points""; ""6.1. The model problem in an infinite cone"" ""6.2. Elliptic boundary value problems in a bounded domain with conical points""""6.3. Solvability of elliptic boundary value problems in bounded domains with conical points""; ""6.4. Asymptotics of the solution""; ""6.5. Boundary value problems with parameter in domains with conical points""; ""6.6. Examples""; ""Chapter 7. Elliptic boundary value problems in weighted Sobolev spaces with nonhomogeneous norms""; ""7.1. Relations between weighted Sobolev spaces""; ""7.2. Elliptic problems in spaces with nonhomogeneous norms"" ""7.3. Weighted Sobolev spaces with critical value of the weight parameter""
Record Nr.	UNISA-996320723603316

Autore	Kozlov Vladimir <1954->
Edizione	[1st ed. 1997.]
Pubbl/distr/stampa	Berlin, Heidelberg : , : Springer-Verlag, , [1997]
Descrizione fisica	1 online resource (XII, 144 p.)
Disciplina	515.35
Collana	Lecture Notes in Mathematics
Soggetto topico	Sturm-Liouville equation
ISBN	3-540-69122-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Basic equation with constant coefficients -- The operator M(? t ) on a semiaxis and an interval -- The operator M(? t )??0 with constant ?0 -- Green's function for the operator M(? t )??(t) -- Uniqueness and solvability properties of the operator M(? t ??(t) -- Properties of M(? t ??(t) under various assumptions about ?(t) -- Asymptotics of solutions at infinity -- Application to ordinary differential equations with operator coefficients.
Record Nr.	UNISA-996466576603316