Lagnese, John Elliptic and parabolic boundary value problems of nonlocal type. (English) Zbl 0242.35042 J. Math. Anal. Appl. 40, 183-201 (1972). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 35K35 Initial-boundary value problems for higher-order parabolic equations 35J40 Boundary value problems for higher-order elliptic equations 34G99 Differential equations in abstract spaces PDFBibTeX XMLCite \textit{J. Lagnese}, J. Math. Anal. Appl. 40, 183--201 (1972; Zbl 0242.35042) Full Text: DOI References: [1] Kato, T.; Tanabe, H., On the abstract evolution equation, Osaka J. Math., 14, 107-133 (1962) · Zbl 0106.09302 [2] Tanabe, H., On the regularity of solution of abstract differential equations of parabolic type in Banach space, J. Math. Soc. Japan, 19, 521-542 (1967) · Zbl 0153.45303 [3] Ton, B. An, Nonlocal elliptic boundary-value problems, Canad. J. Math., 20, 1365-1382 (1968) · Zbl 0165.16304 [4] Agmon, S., On the eigenfunctions and eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math., 15, 119-148 (1962) · Zbl 0109.32701 [5] Agmon, S.; Nirenberg, L., Properties of solutions of ordinary differential equations in Banach space, Comm. Pure Appl. Math., 16, 121-239 (1963) · Zbl 0117.10001 [6] Agranovic, M.; Visik, M., Elliptic problems with a parameter and parabolic problems of general type, Uspehi Mat. Nauk, 19, 53-161 (1964) [7] Tanabe, H., A note on the initial-boundary value problem for parabolic differential equations, (Tech. Note (1963), Univ. of Calif: Univ. of Calif Berkeley) [8] Tanabe, H., On differentiability and analyticity of solutions of weighted elliptic boundary value problems, Osaka J. Math., 2, 163-190 (1965) · Zbl 0151.15201 [9] Lagnese, J., On equations of evolution and parabolic equations of higher order in \(t\), J. Math. Anal. Appl., 31, 15-37 (1970) · Zbl 0207.14002 [10] Sobolevsky, P. E., General boundary value problems for parabolic equations investigated by the method of differential equations in Banach space, Dokl. Akad. Nauk SSSR, 170, 1330-1334 (1966) · Zbl 0171.07904 [11] Friedman, A., Differentiability of solutions of ordinary differential equations in Hilbert space, Pacific J. Math., 16, 267-271 (1966) · Zbl 0151.20303 [12] Browder, F. E., Nonlocal elliptic boundary value problems, Amer. J. Math., 86, 735-760 (1964) · Zbl 0131.09702 [13] Beals, R., Nonlocal boundary value problems for elliptic operators, Amer. J. Math., 87, 315-362 (1965) · Zbl 0134.31302 [14] Schechter, M., Nonlocal elliptic boundary value problems, Ann. Scuola Norm. Sup. Pisa, 20, 421-441 (1966), (3) · Zbl 0152.11005 [15] Agmon, S.; Douglis, A.; Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math., 12, 623-727 (1959) · Zbl 0093.10401 [16] Browder, F. E., Problèmes Non-Linéaires, (Seminaires Math. Sup. (1965), Univ. Montreal Press: Univ. Montreal Press Montreal) · Zbl 0153.17302 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.