@article{ASNSP_1994_4_21_2_235_0, author = {Escher, Joachim}, title = {The {Dirichlet-Neumann} operator on continuous functions}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {235--266}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 21}, number = {2}, year = {1994}, zbl = {0810.35017}, mrnumber = {1288366}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1994_4_21_2_235_0/} }
TY - JOUR AU - Escher, Joachim TI - The Dirichlet-Neumann operator on continuous functions JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1994 DA - 1994/// SP - 235 EP - 266 VL - Ser. 4, 21 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1994_4_21_2_235_0/ UR - https://zbmath.org/?q=an%3A0810.35017 UR - https://www.ams.org/mathscinet-getitem?mr=1288366 LA - en ID - ASNSP_1994_4_21_2_235_0 ER -
Escher, Joachim. The Dirichlet-Neumann operator on continuous functions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 21 (1994) no. 2, pp. 235-266. http://www.numdam.org/item/ASNSP_1994_4_21_2_235_0/
[1] Sobolev Spaces. Academic Press, New York-London, 1975. | MR 450957 | Zbl 0314.46030
,[2] The prediction of transient heat transfer performance of thermal energy storage devices. Chem. Eng. Progress Symposium Ser. 61 (1965), 289-297.
- P Ross - ,[3] On the eigenfunction and on the the eigenvalues of general boundary value problems. Comm. Pure Appl. Math. 15 (1962), 119-147. | MR 147774 | Zbl 0109.32701
,[4] Parabolic evolution equations and nonlinear boundary conditions. J. Differential Equations 72 (1988), 201-269. | MR 932367 | Zbl 0658.34011
,[5] Chemische Reaktionstechnik. G. Thieme, Stuttgart, 1987.
- - ,[6] Interpolation Spaces. An Introduction. Springer, Berlin, 1976. | MR 482275 | Zbl 0344.46071
- ,[7] 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. | MR 590275
,[8] Methoden der Mathematischen Physik II. Springer, Berlin, 1965. | MR 344038
- ,[9] The Mathematics of Diffusion. Clarendon Press, Oxford, 1975. | MR 359551 | Zbl 0071.41401
,[10] Nonlinear elliptic systems with dynamic boundary conditions. Math. Z. 210 (1992), 413-439. | MR 1171181 | Zbl 0759.35025
,[11] On the qualitative behaviour of some semilinear parabolic problems. To appear in Differential Integral Equations. | MR 1296123 | Zbl 0814.35053
,[12] Evolution equations with dynamic boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 113 (1989), 43-60. | MR 1025453 | Zbl 0699.35045
,[13] 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. | JFM 58.0897.03 | Zbl 0005.09604
,[14] L. LAPIDUS - N.R. AMUNDSON (EDS.), Chemical Reactor Theory. Prentice-Hall, Englewood Cliffs, 1977. | MR 490846
[15] Quelques Méthodes de Résolution des Probèmes aux Limites Non Linéaires. Dunod, Paris, 1969. | MR 259693 | Zbl 0189.40603
,[16] Problemi ai limiti non omogenei V. Ann. Scuola Norm. Sup. Pisa Cl. Sci. XVI (1962), 1-44. | Numdam | MR 146527 | Zbl 0115.31401
- ,[17] Non-Homogeneous Boundary Value Problems and Applications I. Springer, Berlin, Heidelberg -New York, 1972. | Zbl 0223.35039
- ,[18] The location of the spectrum of the dissipative acoustic operator. Indiana Univ. Math. J. 25 (1976), 973-987. | MR 425381 | Zbl 0357.35064
,[19] The diffusion problem for a solid in contact with a stirred liquid. Phys. Rev. 31 (1928), 1072-1082.
- ,[20] Reconstruction from boundary measurements. Ann. of Math. 128 (1988), 531-576. | Zbl 0675.35084
,[21] An n-dimensional Borg-Levison theorem. Comm. Math. Phys. 115 (1988), 595-605. | MR 933457 | Zbl 0644.35095
- - ,[22] Semigroups of Linear Operators and Application to Partial Differential Equations. Springer, Berlin- New York, 1983. | MR 710486 | Zbl 0516.47023
,[23] Introduction to Fourier Transform and Pseudo-Differential Operators. Pitman, Boston- London, 1983. | Zbl 0523.35001
,[24] Methoden und Programme zur Berechnung Chemischer Reaktoren. Akademie-Verlag, Berlin, 1972.
- ,[25] Stability of the inverse problem in potential scattering at fixed energy. Ann. Inst. Fourier (Grenoble) 40 (1990), 867-884. | Numdam | MR 1096595 | Zbl 0715.35082
,[26] Singular Integrals and Differentiability Properties of Functions. Princeton University Press, Princeton, 1970. | MR 290095 | Zbl 0207.13501
,[27] Generation of analytic semigroups by strongly elliptic operators under general boundary conditions. Trans. Amer. Math. Soc. 199 (1974), 141-162. | MR 358067 | Zbl 0264.35043
,[28] Generation of analytic semigroups by strongly elliptic operators. Trans. Amer. Math. Soc. 259 (1980), 299-310. | MR 561838 | Zbl 0451.35033
,[29] A uniqueness theorem for an inverse boundary value problem in electrical prospection. Comm. Pure Appl. Math. 39 (1986), 92-112. | MR 820341 | Zbl 0611.35088
- ,[30] A global uniqueness theorem for an inverse boundary value problem. Ann. of Math. 125 (1987), 153-169. | MR 873380 | Zbl 0625.35078
- ,[31] Inverse boundary problem at the boundary - continuous dependence. Comm. Pure Appl. Math. 41 (1988), 197-221. | MR 924684 | Zbl 0632.35074
- ,[32] Interpolation Theory, Function spaces, Differential Operators. North-Holland, Amsterdam, 1978. | MR 503903 | Zbl 0387.46032
,[33] Theory of Function Spaces. Birkhäuser, Basel, 1983. | MR 781540 | Zbl 0546.46027
,[34] Theory of Function Spaces II. Birkhäuser, Basel, 1992. | MR 1163193 | Zbl 0763.46025
,[35] Colloid and Interface Chemistry. Addison-Wesley, Reading-Mass., 1983.
- ,