Keywords
- Weak Solution
- Eigenvalue Problem
- Neumann Condition
- Admissible Function
- Rayleigh Quotient
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Further references for Chapter I
BERS, L.-JOHN, F.-SCHECHTER, M.-Partial differential equations, Interscience 1964.
EELLS, J.-Elliptic operators on manifolds, Proceedings Summer Course Complex Analysis I.C.T.P. Trieste 1975 International Atomic Energy Agency 1976 Vol. 1, p. 95–152.
GARABEDIAN, P.R.-Partial differential equations, J. Wiley and Sons, 1964.
GILBARG, D.-TRUDINGER, N.S.-Elliptic partial differential equations of second order, Springer 1977.
PETROVSKY, I.G.-Lectures on partial differential equations, Interscience Publ. 1954.
TRUESDELL, C.-The influence of elasticity on analysis: the classic heritage. Bull. Amer. Math. Soc. 9 (1983), 293–310.
TREVES, F.-Basic linear partial differential equations, Academic Press 1975.
WEINBERGER, H.F.-A first course in partial differential equations, Blaisdell, Waltham Mass. 1965.
WELLS, R.-Differential analysis on complex manifolds, Graduate Texts in Math. 65 Springer (1980)
AGMON, S.-Lectures on Elliptic boundary value problems, Van Nostrand 1965.
REED, M.-SIMON, B.-Methods of Mathematical Physics, Vol. I–IV, Academic Press 1975.
SHOWALTER, R.E.-Hilbert space methods for Partial Differential Equations, Pitman 1977.
BREZIS, H.-Analyse fonctionnelle: Théorie et Applications, Masson 1983.
BANDLE, C.-Isoperimetric inequalities and applications, Pitman 1980.
COURANT, R.-HILBERT, D.-Methods of mathematical physics, Vol. I, J. Wiley & Sons 1953.
CHAVEL, I.-Eigenvalues in Riemannian Geometry, Academic Press 1984.
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Bérard, P.H. (1986). Motivations and the physical point of view. In: Spectral Geometry: Direct and Inverse Problems. Lecture Notes in Mathematics, vol 1207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076331
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DOI: https://doi.org/10.1007/BFb0076331
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