A coupled non-linear hyperbolic-sobolev system
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S. Agmon,Lectures on Elliptic Boundary Value Problems, Van Nostrand, New York, 1965.
G. I. Barenblatt -I. P. Zheltov -I. N. Kochina,Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math. Mech.,24 (1960), pp. 1286–1303.
J. R. Cannon - R. E. Ewing,A coupled non-linear hyperbolic-parabolic system, J. Math. Anal. and Appl. (to appear).
R. Carroll,Abstract Methods in Partial Differential Equations, Harper and Row, New York, 1969.
R. Courant -D. Hilbert,Methods of Mathematical Physics, 2 vols., Wiley and Sons, New York, 1962.
R. Courant -P. Lax,On non-linear partial differential equations with two independent variables, Comm. Pure and Appl. Math.,2 (1949), pp. 255–273.
P. Garabedian,Partial Differential Equations, Wiley and Sons, New York, 1964.
W. Hurewicz,Lectures on Ordinary Differential Equations, The M.I.T. Press, Cambridge, Mass., 1958.
I. G. Petrovskii,Partial Differential Equations, W. B. Saunders Company, Philadelphia, Pennsylvania, 1967.
R. E. Showalter,Existence and representation theorems for a semilinear Sobolev equation in a Banach space, SIAM J. Math. Anal.,3 (1972), pp. 527–543.
R. E. Showalter,Weak solutions of non-linear evolution equations of Sobolev-Galpern type, J. of Diff. Eqns.,11 (1972), pp. 252–265.