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• [1] E.A. Baderko, The solvability of boundary value problems for higher order parabolic equations in domains with curvilinear lateral boundaries, Differ. Uravn. 10 (12), 1781– 1792, 1976.
• [2] E.A. Baderko, On the solution of boundary value problems for linear parabolic equations of arbitrary order in noncylindrical domains by the method of boundary integral equations, PhD Thesis, Moscow, 1992.
• [3] V. Besov, Continuation of functions from $L_p^l$ and $W_p^l$, Proc. Steklov Inst. Math. 89, 5–17, 1967.
• [4] M.F. Cherepova, On the solvability of boundary value problems for a higher order parabolic equation with growing coefficients, Dokl. Math. 74 (3), 819–820 2006.
• [5] S. Cherfaoui, A. Kessab, and A. Kheloufi, On 2m-th order parabolic equations with mixed boundary conditions in non-rectangular domains, Sib. Èlektron. Mat. Izv. 14, 73–91, 2017.
• [6] V.A. Galaktionov, On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach, Nonlinear Differ. Equ. Appl. 5 (16), 597–655, 2009.
• [7] A. Grimaldi Piro and F. Ragnedda, Higher-order parabolic operators in domains with a "nonsmooth" boundary, Rend. Sem. Fac.Sci. Univ. Cagliari 54, 45–62, 1984.
• [8] P. Grisvard and G. Looss, Problèmes aux limites unilatéraux dans des domaines non réguliers, Jour. Equ. Dériv. Part. 1–26, 1976.
• [9] A. Kheloufi, Resolutions of parabolic equations in non-symmetric conical domains, Electron. J. Differ. Equ. 2012 (116), 1–14, 2012.
• [10] A. Kheloufi, On a fourth order parabolic equation in a nonregular domain of $\mathbb{R}^3$, Mediterr. J. Math. 12, 803–820, 2015.
• [11] A. Kheloufi, Study of a 2m-th order parabolic equation in a non-regular type of prism of $\mathbb{R}^{N+1}$, Georgian Math. J. 23 (2), 227–237, 2016.
• [12] A. Kheloufi, On the Dirichlet problem for the heat equation in non-symmetric conical domains of $\mathbb{R}^{N+1}$, Palestine J. Math. 6 (1), 287–300, 2017.
• [13] A. Kheloufi and B.K. Sadallah, On the regularity of the heat equation solution in noncylindrical domains: two approaches, Appl. Math. Comput. 218, 1623–1633, 2011.
• [14] A. Kheloufi and B.K. Sadallah, Study of the heat equation in a symmetric conical type domain of $\mathbb{R}^{N+1}$, Math. Methods Appl. Sci. 37, 1807–1818, 2014.
• [15] A. Kheloufi and B.K. Sadallah, Resolution of a high-order parabolic equation in conical time-dependent domains of $\mathbb{R}^{3}$, Arab J. Math. Sci. 22, 165–181, 2016.
• [16] V.A. Kondrat’ev, Boundary problems for parabolic equations in closed regions, Am. Math. Soc. Providence. R I. 450–504, 1966.
• [17] V.A. Kozlov, Coefficients in the asymptotic solutions of the Cauchy boundary-value parabolic problems in domains with a conical point, Siberian Math. J. 29, 222–233, 1988.
• [18] R. Labbas and B.K. Sadallah, Smoothness of the solution of a fourth order parabolic equation in a polygonal domain, Int. J. Appl. Math. 1, 75–90, 1999.
• [19] O.A. Ladyzhenskaya and V.A. Solonnikov and N.N. Ural’tseva, Linear and quasilinear equations of parabolic type, (A.M.S., Providence, Rhode Island, 1968).
• [20] J.L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, 1, 2, Dunod, Paris, 1968.
• [21] A. Maghnouji, Problèmes aux limites paraboliques dans un domaine non régulier, C.R.A.S. 316, 331–336, 1993.
• [22] V.P. Mikhailov, The Dirichlet problem for a parabolic equation I, Mat. Sb. (N.S.) 61 (103), 40–64, 1963.
• [23] V.P. Mikhailov, The Dirichlet problem for a parabolic equation II, Mat. Sb. (N.S.) 62 (104), 140–159, 1963.
• [24] B.K. Sadallah, Etude d’un problème 2m-parabolique dans des domaines plan non rectangulaires, Boll. Un. Mat. Ital. 5 (2-B), 51–112, 1983.
• [25] B.K. Sadallah, Singularities of the solution of a 2m-parabolic problem in a polygonal domain, Arab J. Math. Sci. 4 (2), 31–41, 1998.
• [26] B.K. Sadallah, Study of a parabolic problem in a conical domain, Math. J. Okayama Univ. 56, 157–169, 2014.