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Sur une équation différentielle abstraite à domaine variable; applications aux problèmes mixtes, du type Cauchy-mêlé, pour l’équation de la chaleur. (French) Zbl 0261.35044
MSC:
35K05 Heat equation
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
34G99 Differential equations in abstract spaces
34K05 General theory of functional-differential equations
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References:
[1] C. BAIOCCHI - Problemi misti per l’equazione del calore - Rend. Sem. Mat. e Fis. Milano XLI ( 1971 ) p. 3-38. MR 48 #739 | Zbl 0335.35054 · Zbl 0335.35054 · doi:10.1007/BF02924203
[2] R. W. CARROLL , J.M. COOPER - Remarks on some variable Domain Problems in Abstract Evolution Equations . Math. Annalen CLXXXVIII ( 1970 ) p. 143-160. MR 42 #8338 | Zbl 0188.21001 · Zbl 0188.21001 · doi:10.1007/BF01350817 · eudml:162045
[3] T. KATO , H. TANABE - On abstract evolution Equation . Osaka Math. J. XIV ( 1962 ) p. 107-133. MR 25 #4367 | Zbl 0106.09302 · Zbl 0106.09302
[4] J. L. LIONS - Equations différentielles opérationnelles dans les espaces de Hilbert - Cours CIME 1963 , éd. Cremonese. · Zbl 0178.50704
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