The Dirichlet-Neumann operator on continuous functions

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1. [1] R.A. Adams, Sobolev Spaces. Academic Press, New York-London, 1975. Zbl0314.46030MR450957
2. [2] M. Altman- D.P. Altman.P Ross - H. Chang, The prediction of transient heat transfer performance of thermal energy storage devices. Chem. Eng. Progress Symposium Ser.61 (1965), 289-297. 
3. [3] S. Agmon, On the eigenfunction and on the the eigenvalues of general boundary value problems. Comm. Pure Appl. Math.15 (1962), 119-147. Zbl0109.32701MR147774
4. [4] H. Amann, Parabolic evolution equations and nonlinear boundary conditions. J. Differential Equations72 (1988), 201-269. Zbl0658.34011MR932367
5. [5] M. Baerns - H. Hofmann - A. Renken, Chemische Reaktionstechnik. G. Thieme, Stuttgart, 1987. 
6. [6] J. Bergh - J. Löfström, Interpolation Spaces. An Introduction. Springer, Berlin, 1976. Zbl0344.46071MR482275
7. [7] A.P. Calderón, On an inverse boundary value problem. Seminar on Numerical Analysis and its Application to Coninuum Physics, Soc. Brasileira de Matemàtica, Rio de Janeiro (1980), 65-73. MR590275
8. [8] R. Courant - D. Hilbert, Methoden der Mathematischen Physik II. Springer, Berlin, 1965. Zbl0161.29402MR344038
9. [9] J. Crank, The Mathematics of Diffusion. Clarendon Press, Oxford, 1975. Zbl0071.41401MR359551
10. [10] J. Escher, Nonlinear elliptic systems with dynamic boundary conditions. Math. Z.210 (1992), 413-439. Zbl0759.35025MR1171181
11. [11] J. Escher, On the qualitative behaviour of some semilinear parabolic problems. To appear in Differential Integral Equations. Zbl0814.35053MR1296123
12. [12] T. Hintermann, Evolution equations with dynamic boundary conditions. Proc. Roy. Soc. Edinburgh Sect.A113 (1989), 43-60. Zbl0699.35045MR1025453
13. [13] R.E. Langer, A problem in diffusion or in the flow of heat for a solid in contact with a fluid. Tôhoku Math. J.35 (1932), 260-275. Zbl0005.09604JFM58.0897.03
14. [14] L. LAPIDUS - N.R. AMUNDSON (EDS.), Chemical Reactor Theory. Prentice-Hall, Englewood Cliffs, 1977. MR490846
15. [15] J.-L. Lions, Quelques Méthodes de Résolution des Probèmes aux Limites Non Linéaires. Dunod, Paris, 1969. Zbl0189.40603MR259693
16. [16] J.-L. Lions - E. Magenes, Problemi ai limiti non omogenei V. Ann. Scuola Norm. Sup. Pisa Cl. Sci. XVI (1962), 1-44. Zbl0115.31401MR146527
17. [17] J.-L. Lions - E. Magenes, Non-Homogeneous Boundary Value Problems and Applications I. Springer, Berlin, Heidelberg -New York, 1972. Zbl0223.35039
18. [18] A Majda, The location of the spectrum of the dissipative acoustic operator. Indiana Univ. Math. J.25 (1976), 973-987. Zbl0357.35064MR425381
19. [19] H.W. March - W. Weaver, The diffusion problem for a solid in contact with a stirred liquid. Phys. Rev.31 (1928), 1072-1082. 
20. [20] A. Nachmann, Reconstruction from boundary measurements. Ann. of Math.128 (1988), 531-576. Zbl0675.35084
21. [21] A. Nachmann - J. Sylvester - G. Uhlmann, An n-dimensional Borg-Levison theorem. Comm. Math. Phys.115 (1988), 595-605. Zbl0644.35095MR933457
22. [22] A. Pazy, Semigroups of Linear Operators and Application to Partial Differential Equations. Springer, Berlin- New York, 1983. Zbl0516.47023MR710486
23. [23] B.E. Perterson, Introduction to Fourier Transform and Pseudo-Differential Operators. Pitman, Boston- London, 1983. Zbl0523.35001
24. [24] M.G. Slinko - K. Hartmann, Methoden und Programme zur Berechnung Chemischer Reaktoren. Akademie-Verlag, Berlin, 1972. 
25. [25] P. Stefanov, Stability of the inverse problem in potential scattering at fixed energy. Ann. Inst. Fourier (Grenoble) 40 (1990), 867-884. Zbl0715.35082MR1096595
26. [26] E.M. Stein, Singular Integrals and Differentiability Properties of Functions. Princeton University Press, Princeton, 1970. Zbl0207.13501MR290095
27. [27] H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions. Trans. Amer. Math. Soc.199 (1974), 141-162. Zbl0264.35043MR358067
28. [28] H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators. Trans. Amer. Math. Soc.259 (1980), 299-310. Zbl0451.35033MR561838
29. [29] J. Sylvester - G. Uhlmann, A uniqueness theorem for an inverse boundary value problem in electrical prospection. Comm. Pure Appl. Math.39 (1986), 92-112. Zbl0611.35088MR820341
30. [30] J. Sylvester - G. Uhlmann, A global uniqueness theorem for an inverse boundary value problem. Ann. of Math.125 (1987), 153-169. Zbl0625.35078MR873380
31. [31] J. Sylvester - G. Uhlmann, Inverse boundary problem at the boundary - continuous dependence. Comm. Pure Appl. Math.41 (1988), 197-221. Zbl0632.35074MR924684
32. [32] H. Triebel, Interpolation Theory, Function spaces, Differential Operators. North-Holland, Amsterdam, 1978. Zbl0387.46032MR503903
33. [33] H. Triebel, Theory of Function Spaces. Birkhäuser, Basel, 1983. Zbl0546.46027MR781540
34. [34] H. Triebel, Theory of Function Spaces II. Birkhäuser, Basel, 1992. Zbl0763.46025MR1163193
35. [35] R.D. Vold - M.J. Vold, Colloid and Interface Chemistry. Addison-Wesley, Reading-Mass., 1983.