×

Boundary value problems with mixed lateral conditions for parabolic operators. (English) Zbl 0497.35017


MSC:

35D05 Existence of generalized solutions of PDE (MSC2000)
35D10 Regularity of generalized solutions of PDE (MSC2000)
35K20 Initial-boundary value problems for second-order parabolic equations
Full Text: DOI

References:

[1] Agranovic, M. S.; Visik, M. I., Elliptic problems with a parameter and parabolic problems of general type, Uspehi Mat. Nauk, 19, no. 3, 53-162 (1964) · Zbl 0137.29602
[2] Baiocchi, C., Sul problema misto per l’equazione parabolica del tipo del calore, Rend. Sem. Mat. Univ. Padova, 36, 80-121 (1966) · Zbl 0145.14202
[3] Baiocchi, C., Soluzioni deboli dei problemi ai limiti per le equazioni paraboliche del tipo del calore, Ist. Lombardo Accad. Sci. Lett. Rend., A 103, 704-726 (1969) · Zbl 0204.41803
[4] Baiocchi, C., Problemi misti per l’equazione del calore, Rend. Sem. Mat. Fis. Milano, 41, 19-54 (1971) · Zbl 0335.35054
[5] Bernardi, M. L., Sulla regolarità dette soluzioni di equazioni differenziali lineari astratte del primo ordine in domini variabili, Boll. Un. Mat. Ital., (4), 10, 182-201 (1974) · Zbl 0307.35015
[6] Bove, A.; Franchi, B.; Obrecht, E., An initial-boundary value problem with mixed lateral conditions for heat equation, Ann. Mat. Pura Appl., (4), 121, 277-307 (1979) · Zbl 0421.35036
[7] Bove, A.; Franchi, B.; Obrecht, E., Boundary value problems for operators like Δ+x.▽, Rend. Mat., (7), 1, 95-120 (1981) · Zbl 0472.35042
[8] A.Bove - B.Franchi - E.Obrecht,Parabolic problems with mixed time dependent lateral conditions, Comm. Partial Differential Equations,7 (1982), no. 11. · Zbl 0506.35047
[9] A.Bove - B.Franchi - E.Obrecht,Parabolic problems in weighted Sobolev spaces, Ricerche Mat., to appear. · Zbl 0531.35042
[10] Eskin, G. I., Boundary value problems for elliptic pseudodifferential equations (1973), Moscow: Nauka, Moscow
[11] Eskin, G. I.; Ho, Chang Zuy, Boundary value problems for parabolic systems of pseudo- differential equations, Dokl. Akad. Nauk SSSR, 198, 50-53 (1972)
[12] Gjul’Misarjan, A. G., On general discontinuous boundary value problems for elliptic equations with parameter and parabolic equations of the second order, Izv. Akad. Nauk Armjan. SSR, Ser. Mat., 5, 3-31 (1970) · Zbl 0189.10603
[13] Hörmander, L., Linear Partial Differential Operators (1969), Berlin: Springer, Berlin · Zbl 0177.36401
[14] Kondrat’Ev, V. A., Boundary problems for parabolic equations in closed domains, Trudy Moskov Mat. Obšč., 15, 400-451 (1966) · Zbl 0161.08402
[15] Magenes, E., Sull’ equazione del calore: teoremi di unicità e teoremi di completezza connessi col metodo di integrazione di M. Picone, II, Rend. Sem. Mat. Univ. Padova, 21, 136-170 (1952) · Zbl 0047.33801
[16] Magenes, E., Problemi al contorno per l’equazione del calore, Rend. Sem. Mat. Univ. Padova, 24, 1-28 (1955) · Zbl 0065.08501
[17] Višik, M. I.; Eskin, G. I., Equations in convolution in a bounded region, Uspehi Mat. Nauk, 20, no. 3, 89-152 (1965) · Zbl 0152.34202
[18] Višik, M. I.; Eskin, G. I., Parabolic convolution equations in a bounded region, Mat. Sb., 71, 113, 162-190 (1966) · Zbl 0154.36201
[19] Volevič, L. P.; Panejah, B. P., Certain spaces of generalized functions and embedding theorems, Uspehi Mat. Nauk, 20, no. 1, 3-74 (1965) · Zbl 0135.16501
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.