Optimal regularity for mixed parabolic problems in spaces of functions which are Hölder continuous with respect to space variables
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 4, pp. 763-790. 
@article{ASNSP_1998_4_26_4_763_0,
     author = {Guidetti, Davide},
     title = {Optimal regularity for mixed parabolic problems in spaces of functions which are {H\"older} continuous with respect to space variables},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {763--790},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 26},
     number = {4},
     year = {1998},
     mrnumber = {1648586},
     zbl = {0926.35048},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1998_4_26_4_763_0/}
}
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Guidetti, Davide. Optimal regularity for mixed parabolic problems in spaces of functions which are Hölder continuous with respect to space variables. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 4, pp. 763-790. http://www.numdam.org/item/ASNSP_1998_4_26_4_763_0/

[1] P. Acquistapace - B. Terreni, Hölder classes with boundary conditions as interpolation spaces, Math. Z. 195 (1987), 451-471. | MR | Zbl

[2] S. Agmon - A. Douglis - L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, Comm. Pure Appl. Math. 12 (1963), 623-727. | MR | Zbl

[3] P. Bolley - J. Camus - P. The Lai, Estimation de la résolvente du probléme de Dirichlet dans les espaces de Hölder, C. R. Acad. Sci. Paris, 305 (1987), Serie I, 253-256. | MR | Zbl

[4] D. Guidetti, On elliptic problems in Besov spaces, Math. Nachr. 152 (1991), 247-275. | MR | Zbl

[5] D. Guidetti, On interpolation with boundary conditions, Math. Z. 207 (1991), 439-460. | MR | Zbl

[6] D. Guidetti, The parabolic mixed Cauchy-Dirichlet problem in spaces of functions which are hölder continuous with respect to space variables, Att. Accad. Naz. Lincei Cl. Sci Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. vol. VII-6, 161-168 (1996). | MR | Zbl

[7] S. Kruzhkov - A. Castro - M. Lopez, Mayoraciones de Schauder y teorema de existencia de las soluciones del problema de Cauchy para ecuaciones parabolicas lineales y no lineales, Revista Ciencias Matemáticas, vol. 1, n. 1, 55-76 (1980). | MR | Zbl

[8] M. López Morales, Primer problema de contorno para ecuaciones parabolicas lineales y no lineales, Revista Ciencias Matemáticas, vol. 13, n. 1, 3-20 (1992). | MR

[9] A. Lunardi, "Analytic semigroups and optimal regularity in parabolic problems", Progress in Nonlinear Differential Equations and Their Applications, vol. 16, Birkhäuser (1995). | MR | Zbl

[10] A. Lunardi, Maximal space regularity in nonhomogeneous initial boundary value parabolic problems, Numer. Funct. Anal. Optim. 10 (1989), 323-439. | MR | Zbl

[11] A. Lunardi - E. Sinestrari - W. Von Wahl, A semigroup approach to the time dependent parabolic initial boundary value problem, Differential Integral Equations 63 (1992), 88-116. | MR | Zbl

[12] E. Sinestrari - W. Von Wahl, On the solutions of the first boundary value problem for the linear parabolic problem, Proc. Roy. Soc. Edinburgh Sect. A 108 (1988), 339-355. | MR | Zbl

[13] V.A. Solonnikov, On the boundary value problems for linear parabolic systems of differential equations of general form, Proc. Steklov Inst. Math. 83 (ed. O. A. Ladyzenskaja) (1965), Amer. Math. Soc. (1967). | MR | Zbl

[14] H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions, Trans. Amer. Math. Soc. 259 (1980), 299-310. | MR | Zbl

[15] H. Triebel, "Theory of function spaces", Monographs in Mathematics, Birkhä- user (1983). | MR | Zbl