General mixed problems on a half-space for certain higher order parabolic equations in one space variable

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1. 1 M.S. Agranovič and M.I. Visik - Elliptical problems with a parameter and parabolic problems of general type. Uspehi Mat. Nauk, 19 (1964), No. 3, 53-161 (Russian). Zbl0137.29602MR192188
2. 2 Reiko Arima - On general boundary value problems for parabolic equations, J. Math. Kyoto Univ.4 (No. 1) (1964), 207-243. Zbl0143.13902MR197997
3. 3 F.E. Browder - A priori estimates for elliptic and parabolic equations, Proc. of Symposia in Pure Mathematics 4, Partial Differential Equations, Amer. Math. Soc., Providence (1961), 73-81. Zbl0178.13002MR131066
4. 4a L. Cattabriga - Su una equazione non lineare del quarto ordine di tipo parabolico, Atti Sem. Mat. Fis. Univ. Modena, 8 (1958-59). Zbl0119.08301MR124631
5. 4b L. Cattabriga - Problemi al contorno per equazioni paraboliche di ordine 2n, Rend. Sem. Mat. Univ. Padova, 28 (1958), 376-401, Zbl0102.09101MR116149
6. 5 S.D. Eĭdelman - Parabolic Equations, Moscow, 1964 (Russian). 
7. 6 S.D. Eidelman and B.J. Lipko - Boundary value Problems for parabolic systems in regions of general type, Dokl. Akad. Nauk SSSR, 150 (1963), 58-61. (Soviet Math. Dokl., 4 (1963), 614-618). Zbl0161.30503MR164156
8. 7 A Erdélyi - Operational Calculus and Generalized Functions, Holt, Rinehart and Winston, New York, 1962. Zbl0123.09502MR142990
9. 8 G.E. Forsythe and P.C. Rosenbloom - Numerical Analysis and Partial Differential Equations, John Wiley and Sons, New York, 1958. Zbl0084.34501
10. 9 A. Friedman - Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N. J., 1964. Zbl0144.34903MR181836
11. 10 E. Gagliardo - Caracterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in n variabili, Rend. Padova27 (1957), 284-305. Zbl0087.10902MR102739
12. 11 R. Hersh - Boundary conditions for equations of evolution, Arch. Rat. Mech. and Anal., 16 (1964), 243-264. Zbl0149.05902MR208133
13. 12 E.K. Isakova - A general boundary value problem for parabolic equations in the plane, Dokl. Akad. Nauk SSSR, 153 (1963), 1249-1252. (Soviet Math. Dokl., 4 (1963), 1804-1808). Zbl0139.05601MR158181
14. 13a R.K. Juberg - Thesis, University of Minneapolis, 1958. 
15. 13b R.K. Juberg - On the Dirichlet problem for certain higher order parabolic equations, Pac. J. Math., 10 (1960), 859-878. Zbl0109.32304MR139851
16. 14 G.K. Kalisch - A functional analysis proof of Titchmarsh's theorem on convolution, J. Math. Anal. Appl.5 (1962), 176-183. Zbl0106.09206MR140893
17. 15 O.A. Ladyzenskaya - On the uniqueness of the solution of the Cauchy problem for a linear parabolic equation, Mat. Sb., 27 (69) (1950), 175-184. (Russian) MR40542
18. 16 P. Lax and A.N. Milgram - Parabolic equations, Ann. Math. Stud., No. 33 (1954), 167-190. Zbl0058.08703MR67317
19. 17 J.L. Lions - Equations Differentielles - Operationelles et Problèmes aux Limites, Springer, Berlin, 1961. Zbl0098.31101MR153974
20. 18 J.L. Lions and E. Magenes - Sur Certains aspects des problèmes aux limites non-homogènes pour des opèrateurs paraboliques, Annali Scuola Norm. Sup. Pisa, 18 (1964), 303-344. Zbl0138.08302MR170229
21. 19a V.P. Mihaĭlov - Potentials of parabolic equations, Dokl. Akad. Nauk SSSR, 129 (1959), 1226-1229. (Russian) Zbl0087.30101MR117447
22. 19b V.P. Mihaĭlov - A solution of a mixed problem for a parabolic system using the method of potentials, Dokl. Akad. Nauk SSSR, 132 (1960), 291-294 (Soviet Math. Dokl.1 (1960), 556-560). Zbl0144.35003MR121570
23. 19c V.P. Mihaĭlov - The Dirichlet problem for a parabolic equation, I, Mat. Sb.61 (103) (1963), 40-64. Zbl0173.38201MR151726
24. 20 Jan Mikusi - Operational Calculus, Pergamon Press, 1959. MR105594
25. 21a B. Pini - Sulle equazioni paraboliche lineari del quarto ordine, I, II, Rend. Sem. Mat. Univ. Padova, 27 (1957), 319-349, 387-410. Zbl0081.31401MR100721
26. 21b B. Pini - Su un problema di tipo nuovo relativo alle equazioni paraboliche di ordine superiore al secondo, Ann. Mat. Pura Appl., (4) 48 (1959), 305-332. Zbl0092.31001MR111941
27. 22 J. Serrin - Introduction to Differentiation Theory, University of Minnesota, Minneapolis, 1965. 
28. 23 S.L. Sobolev - Sur les problèmes mixtes pour les équations aux derivées partielles à deaux rariables independantes, Calcutta Math. Soc. Golden Jubilee Commemoration Vol. (1958/59), part II, 447-484. Calcutta Math. Soc., Calcutta, 1963. Zbl0119.30603MR165261
29. 24 V.A. Solonnikov - Boundary value problems for general linear parabolic systems, Dokl. Akad. Nauk SSSR, 157 (1964), 56-59. (Soviet Math. Dokl., 5 (1964), 898-901). Zbl0141.09501MR179479
30. 25 T. Ja. Zagorskii - A mixed problem for general parabolic systems in a halfspace, Dokl. Akad. Nauk SSSR, 158 (1964), 37-40. (Soviet Math. Dokl., 5 (1964), 1167-1170). Zbl0142.07705MR167729