@article{RSMUP_1985__73__119_0,
author = {Comparini, Elena and Tarzia, Domingo A.},
title = {A {Stefan} problem for the heat equation subject to an integral condition},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {119--136},
year = {1985},
publisher = {Seminario Matematico of the University of Padua},
volume = {73},
mrnumber = {799902},
zbl = {0576.35121},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1985__73__119_0/}
}
TY - JOUR AU - Comparini, Elena AU - Tarzia, Domingo A. TI - A Stefan problem for the heat equation subject to an integral condition JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1985 SP - 119 EP - 136 VL - 73 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_1985__73__119_0/ LA - en ID - RSMUP_1985__73__119_0 ER -
%0 Journal Article %A Comparini, Elena %A Tarzia, Domingo A. %T A Stefan problem for the heat equation subject to an integral condition %J Rendiconti del Seminario Matematico della Università di Padova %D 1985 %P 119-136 %V 73 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_1985__73__119_0/ %G en %F RSMUP_1985__73__119_0
Comparini, Elena; Tarzia, Domingo A. A Stefan problem for the heat equation subject to an integral condition. Rendiconti del Seminario Matematico della Università di Padova, Tome 73 (1985), pp. 119-136. https://www.numdam.org/item/RSMUP_1985__73__119_0/
[1] , The solution of the Heat Equation Subject to the Specification of Energy, Quart. Appl. Math., 21 (1963). | Zbl | MR
[2] , Solution of a boundary value problem in heat conduction with a nonclassical boundary condition, Diff. Equation s, 13 (1977). | Zbl | MR
[3] - , The one phase Stefan Problem subject to the Specification of Energy, Jour. of Math. Anal. and Appl., 86 (1982). | Zbl | MR
[4] , Free Boundary Problems for Parabolic Equations, I: Melting of Solids, Journal of Math. and Mec., 8, no. 4 (1959). | Zbl | MR
[5] , Boundary Problem for the heat equation with prescribed flux at both fixed face and melting interface, Quart. Appl. Math., 25 (1967). | Zbl | MR
[6] - , The existence of and a continuous dependence result for the solution of the heat equation subject to the specification of energy, Suppl. B.U.M.I., 1 (1981). | Zbl | MR
[7] , A new proof of the infinite differentiability of the Free Boundary in the Stefan Problem, Jour. of Diff. Eq., 20 (1976). | Zbl | MR
[8] - , Cauchy type free boundary problems for nonlinear parabolic equations, Riv. Mat. Univ. Parma, (4), 5 (1979). | Zbl | MR
[9] and Properties of the Solution of a Free Boundary Problem for the Heat Equation, Quart. Appl. Math., 27 (1970). | Zbl | MR
[10] - , La diffusione del calore in uno strato di spessore variabile in presenza di scambi termici non lineari con l'ambiente, I, Rend. Sem. Mat. Univ. Padova, 50 (1973). | Zbl | MR | Numdam
[11] - - , Linear and quasilinear equations of Parabolic Type, A.M.S. Tranl., 23 (1968). | MR
[12] - , Free Boundary Problems for Nonlinear Parabolic Equations with Nonlinear Free Boundary Conditions, J. Math. Anal. Appl., 72 (1979). | Zbl | MR
[13] , Partial Differential Equation of Parabolic Type, Prentice Hall, Englewood Cliffs, N.J. (1964). | Zbl
[14] - - , Remarks on a one-dimensional Stefan problem related to the diffusion-consumption model, to appear on Z.A.M.M. | Zbl | MR
[15] - , General free-boundary problems for the heat equation, I, J. Math. Anal. Appl., 57, no. 3 (1977). | Zbl | MR






