Published: 1984 Received: December 20, 1982Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff Intern. Publishing, Leyden, 1976. 2) V. Barbu, Continuous perturbations of nonlinear m-accretive operators in Banach spaces, Boll. Un. Mat. Ital., 6(1972), 270-278. 3) Ph. Benilan, Solutions integrales d'equations d'evolution Bans un espace de Banach, C. R. Acad. Sci. Paris, 274 (1972), 47-50. 4) H. Brezis, Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations, Contributions to Nonlinear Analysis, E .Zarantonello (ed.), Academic Press, New York, 1971, 101-156. 5) H. Brezis and M. Crandall, Uniqueness of solutions of the initial-value problem for Singular quasilinear diffusion equation 189 ut=Δφ(u)=0, J. Math. Pures Appl., 58 (1979), 153-163. 6) H. Brezis and W. Strauss, Semi-linear second-order elliptic equations in L1, J. Math. Soc. Japan, 25(1973), 565-590. 7) M. Crandall, Semigroups of nonlinear transformations in Banach spaces, Contributions to Nonlinear Functional Analysis, E. Zarantonello (ed.), Academic Press, New York, 1971, 157-179. 8) M. Crandall and A. Pazy, Nonlinear evolution equations in Banach spaces, Israel J. Math., 26 (1977), 1-41. 9) A. Damlamian, Some results on the multi-phase Stefan problem, Comm. Partial Differential Equations, 2 (1977), 1017-1044. 10) E. DiBenedetto, Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl., 130 (1982), 131-177. 11) E. DiBenedetto, Continuity of weak solutions to a general porous media equation, MRC Report #2189, 1981. 12) E. DiBenedetto and R. E. Schowalter, Implicit degenerate evolution equations and applications, SIAM J. Math. Anal., 12 (1981), 731-751. 13) L. C. Evans, Application of nonlinear semigroup theory to certain partial differential equations, Nonlinear Evolution Equations, M. G. Crandall (ed.), Academic Press, New York, 1978, 163-188. 14) J. Jerome, Nonlinear equations of evolution and a generalized Stefan problem, J. Differential Equations, 26(1977), 240-261. 15) Y. Konishi, On the nonlinear semigroups associated with ut=Δβ(u) and φ(ut)=Δu, J. Math. Soc. Japan, 25 (1973), 622-628. 16) P. E. Sacks, Continuity of solutions of a singular parabolic equation, Nonlinear Anal., 7 (1983), 387-409. 17) R. E. Showalter, Mathematical formulation of the Stefan problem, Int. J. Engin. Sci., 20(1982), 909-912. 18) G. F. Webb, Nonlinear perturbations of linear accretive operators in Banach spaces, Israel J. Math., 12 (1972), 237-248. 19) K. Yosida, Functional Analysis, Fourth Edition, Springer-Verlag, 1974. 20) L. A. Caffarelli and C. L. Evans, Continuity of the temperature in the two-phase Stefan problem, to appear.
Right : [1] V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff Intern. Publishing, Leyden, 1976. [2] V. Barbu, Continuous perturbations of nonlinear m-accretive operators in Banach spaces, Boll. Un. Mat. Ital., 6 (1972), 270-278. [3] Ph. Benilan, Solutions integrales d'equations d'evolution dans un espace de Banach, C. R. Acad. Sci. Paris, 274 (1972), 47-50. [4] H. Brezis, Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations, Contributions to Nonlinear Analysis, E. Zarantonello (ed.), Academic Press, New York, 1971, 101-156. [5] H. Brezis and M. Crandall, Uniqueness of solutions of the initial-value problem for ut=Δφ(u)=0, J. Math. Pures Appl., 58 (1979), 153-163. [6] H. Brezis and W. Strauss, Semi-linear second-order elliptic equations in L1, J. Math. Soc. Japan, 25 (1973), 565-590. [7] M. Crandall, Semigroups of nonlinear transformations in Banach spaces, Contributions to Nonlinear Functional Analysis, E. Zarantonello (ed.), Academic Press, New York, 1971, 157-179. [8] M. Crandall and A. Pazy, Nonlinear evolution equations in Banach spaces, Israel J. Math., 26 (1977), 1-41. [9] A. Damlamian, Some results on the multi-phase Stefan problem, Comm. Partial Differential Equations, 2 (1977), 1017-1044. [10] E. DiBenedetto, Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl., 130 (1982), 131-177. [11] E. DiBenedetto, Continuity of weak solutions to a general porous media equation, MRC Report #2189, 1981. [12] E. DiBenedetto and R. E. Schowalter, Implicit degenerate evolution equations and applications, SIAM J. Math. Anal., 12 (1981), 731-751. [13] L. C. Evans, Application of nonlinear semigroup theory to certain partial differential equations, Nonlinear Evolution Equations, M. G. Crandall (ed.), Academic Press, New York, 1978, 163-188. [14] J. Jerome, Nonlinear equations of evolution and a generalized Stefan problem, J. Differential Equations, 26 (1977), 240-261. [15] Y. Konishi, On the nonlinear semigroups associated with ut=Δβ(u) and φ(ut)=Δu, J. Math. Soc. Japan, 25 (1973), 622-628. [16] P. E. Sacks, Continuity of solutions of a singular parabolic equation, Nonlinear Anal., 7 (1983), 387-409. [17] R. E. Showalter, Mathematical formulation of the Stefan problem, Int. J. Engin. Sci., 20 (1982), 909-912. [18] G. F. Webb, Nonlinear perturbations of linear accretive operators in Banach spaces, Israel J. Math., 12 (1972), 237-248. [19] K. Yosida, Functional Analysis, Fourth Edition, Springer-Verlag, 1974. [20] L. A. Caffarelli and C. L. Evans, Continuity of the temperature in the two-phase Stefan problem, to appear.
Date of correction: October 20, 2006Reason for correction: -Correction: PDF FILEDetails: -