Distributions, Sobolev Spaces, Elliptic Equations

	FrontmatterDownload pp. i–iv
	PrefaceDownload pp. v–vi
	ContentsDownload pp. vii–ix
1	The Laplace–Poisson equationpp. 1–24
2	Distributionspp. 25–55
3	Sobolev spaces on $R^{n}$ and $R_{+}^{n}$ pp. 56–86
4	Sobolev spaces on domainspp. 87–116
5	Elliptic operators in $L_{2}$ pp. 117–181
6	Spectral theory in Hilbert spaces and Banach spacespp. 182–213
7	Compact embeddings, spectral theory of elliptic operatorspp. 214–244
A	Domains, basic spaces, and integral formulaepp. 245–249
B	Orthonormal bases of trigonometric functionspp. 250–251
C	Operator theorypp. 252–258
D	Some integral inequalitiespp. 259–260
E	Function spacespp. 261–267
	Selected solutionspp. 269–274
	Bibliographypp. 275–282
	Author indexpp. 283–284
	List of Figuresp. 285
	Notation indexpp. 287–289
	Subject indexpp. 291–294