On an oblique derivative problem involving an indefinite weight

 Access to full text

 Full (PDF)

 Access to full text

1. Sobolev Spaces, Academic, New York (1975). (1975) Zbl0314.46030MR0450957
2. On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math. 15 (1962), 119-147. (1962) Zbl0109.32701MR0147774
3. Lectures on Elliptic Boundary Value Problems, Van Nostrand, Princeton, N.J. (1965). (1965) Zbl0142.37401MR0178246
4. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math. 12 (1959), 623-727. (1959) MR0125307
5. Elliptic problems with a parameter and parabolic problems of general type, Russian Math. Surveys 19 (1964), 53-157. (1964) MR0192188
6. Indefinite Sturm–Liouville problems and half–range completeness, J. Differential Equations 56 (1985), 391-407. (1985) Zbl0512.34017MR0780497
7. Elliptic Equations, In: Partial Differential Equations, Lectures in Appl. Math.III, Interscience, New York, 1964, 131-299. MR0165224
8. Indefinite Inner Product Spaces, Springer, New York, 1974. (1974) MR0467261
9. Theory of Ordinary Differential Equations, McGraw–Hill, New York, 1955. (1955) MR0069338
10. On the eigenvalues of nonselfadjoint problems involving indefinite weights, Math. Ann. 282 (1988), 369-377. (1988) Zbl0629.34024MR0967019
11. Elliptic problems involving an indefinite weight, Trans. Amer. Math. Soc. 320 (1990), 253–279. (1990) Zbl0721.35051MR0962280
12. Non–selfadjoint elliptic problems involving an indefinite weight, Comm. Partial Differential Equations 15 (1990), 939–982. (1990) Zbl0721.35051MR1070235
13. An oblique derivative problem involving an indefinite weight, Dekker, New York, 1991, 147-154, In: Differential Equations, Lecture Notes in Pure and Appl. Math. 127. Zbl0865.35096MR1096750
14. An elliptic boundary value problem in a half–space, Boll. Un. Mat. Ital. 5-B (1991), 905-937. (1991) Zbl0768.35021MR1146780
15. Generalized parabolic cylinder functions, Asymptotic Anal. 5 (1992), 517-531. (1992) Zbl0753.34041MR1169356
16. A priori bounds for solutions of an elliptic equation, Proc. Roy. Soc. Edinburgh (to appear). (to appear) Zbl0791.35013MR1200196
17. Eigenvalues of elliptic boundary value problems with an indefinite weight function, Trans. Amer. Math. Soc. 295 (1986), 305-324. (1986) MR0831201
18. Remainder estimates for the asymptotics of elliptic eigenvalue problems with indefinite weights, Arch. Rational Mech. Anal. 98 (1987), 329-356. (1987) MR0872751
19. On the relative completeness of the generalized eigenvectors of elliptic eigenvalue problems with indefinite weight functions, Math. Ann. 270 (1985), 467-475. (1985) Zbl0572.47006MR0774371
20. On the asymptotic distribution of eigenvalues of some non–selfadjoint problems, Bull. London Math. Soc. 18 (1986), 181-184. (1986) MR0818823
21. On the spectrum of elliptic operators with respect to indefinite weights, Linear Algebra Appl. 84 (1986), 99-109. (1986) Zbl0621.47026MR0872278
22. Uniqueness theorems for second order elliptic differential equations, Comm. Partial Differential Equations 8 (1983), 21-64. (1983) MR0686819
23. Perturbation Theory for Linear Operators, 2nd edn., Springer, New York, 1976. Zbl0836.47009MR0407617
24. Non-Homogeneous Boundary Value Problems and Applications, Vol. I, Springer, New York, 1972. MR0350177
25. Introduction to the Spectral Theory of Polynomial Operator Pencils, Amer. Math. Soc., Providence, R.I. (1988). (1988) Zbl0678.47005MR0971506
26. General boundary value problems for elliptic partial differential equations, Comm. Pure Appl. Math. 12 (1959), 457-482. (1959) Zbl0087.30204MR0125323
27. A Course of Modern Analysis, 4th edn., University Press, Cambridge, 1965. MR1424469