Ewing, Richard E. A coupled non-linear hyperbolic-Sobolev system. (English) Zbl 0361.35045 Ann. Mat. Pura Appl., IV. Ser. 114, 332-349 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 17 Documents MSC: 35L60 First-order nonlinear hyperbolic equations 35K55 Nonlinear parabolic equations 35Q99 Partial differential equations of mathematical physics and other areas of application PDFBibTeX XMLCite \textit{R. E. Ewing}, Ann. Mat. Pura Appl. (4) 114, 332--349 (1977; Zbl 0361.35045) Full Text: DOI References: [1] Agmon, S., Lectures on Elliptic Boundary Value Problems (1965), New York: Van Nostrand, New York · Zbl 0151.20203 [2] Barenblatt, G. I.; Zheltov, I. P.; Kochina, I. N., Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math. Mech., 24, 1286-1303 (1960) · Zbl 0104.21702 [3] J. R. Cannon - R. E. Ewing,A coupled non-linear hyperbolic-parabolic system, J. Math. Anal. and Appl. (to appear). · Zbl 0355.35063 [4] Carroll, R., Abstract Methods in Partial Differential Equations (1969), New York: Harper and Row, New York · Zbl 0193.06501 [5] Courant, R.; Hilbert, D., Methods of Mathematical Physics, 2 vols. (1962), New York: Wiley and Sons, New York · Zbl 0729.35001 [6] Courant, R.; Lax, P., On non-linear partial differential equations with two independent variables, Comm. Pure and Appl. Math., 2, 255-273 (1949) · Zbl 0034.20103 [7] Garabedian, P., Partial Differential Equations (1964), New York: Wiley and Sons, New York · Zbl 0124.30501 [8] Hurewicz, W., Lectures on Ordinary Differential Equations (1958), Cambridge, Mass.: The M.I.T. Press, Cambridge, Mass. · Zbl 0082.29702 [9] Petrovskii, I. G., Partial Differential Equations (1967), Philadelphia, Pennsylvania: W. B. Saunders Company, Philadelphia, Pennsylvania [10] Showalter, R. E., Existence and representation theorems for a semilinear Sobolev equation in a Banach space, SIAM J. Math. Anal., 3, 527-543 (1972) · Zbl 0262.34047 [11] Showalter, R. E., Weak solutions of non-linear evolution equations of Sobolev-Galpern type, J. of Diff. Eqns., 11, 252-265 (1972) · Zbl 0232.35027 [12] Showalter, R. E.; Ting, T. W., Pseudo-parabolic partial differential equations, SIAM J. Math. Anal., 1, 1-26 (1970) · Zbl 0199.42102 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.