References
- Beckenbach , E.F. and Bellman , R.E. 1965 . Inequalities , Berlin-Gottingen-Heidelberg : Springer .
- Conlan , J. and Trytten , G.N. 1966 . Pointwise bounds in the Cauchy problem for elliptic systems of partial differential equations . Arch. Rational Mech. Anal , 22 : 143 – 152 .
- John , F. 1960 . Continuous dependence on the data for solutions of partial differential equations with a prescribed bound . Comm. Pure AppL Math. , 13 : 551 – 585 .
- Lavrentiev , M.M. 1967 . Some improperly posed problems of mathematical physics , New York : Springer-Verlag .
- Levine , H. A. 1970 . Logarithmic convexity and the Cauchy problem for some abstract second order differential inequalities . Biff, Eqs , 8 : 34 – 55 .
- Payne , L.E. 1960 . Bounds in the Cauchy problem for the Laplace equation . Arch, Rational Mech. Anal , 5 : 35 – 45 .
- Payne , L.E. 1970 . On a priori bounds in the Cauchy problem for elliptic equations . SIAMJ. Math. Anal , 1 : 82 – 89 .
- Payne , L.E. 1966 . On some non well-posed problems for partial differential equations . Proc. Symp. Numerical Solutions Nonlinear Biff. , 1 : 239 – 263 .
- Payne , L.E. and Sather , H.F. 1967 . On some improperly posed problems for quasilinear equations of mixed type . Trans. Amer. Math. Soc , 128 : 135 – 141 .
- Payne , L.E. and Weinberger , H.F. 1965 . Bounds for solutions of second order elliptic equations in terms of arbitrary vector fields . Arch. Rational Mech. Anal , 20 : 95 – 106 .
- Pucci , C. 1958 . Discussione del problema di Cauchy per le equazione di tipo ellitico . Ann. Mat. Pura AppL , 46 : 131 – 153 .
- Rellich , F. 1940 . Darstellung der Eigenwerte von Au+Xu durch ein Randintegral . Math. Z. , 46 : 635 – 636 .
- Riesz , M. 1949 . L'integrale de Riemann¡ªLiouville et le probleme de Cauchy . Ada Math. , 81 : 1 – 223 .
- P. W , Schaefer . 1967 . On the Cauchy problem for an elliptic system . Arch. Rational Mech. Anal , 15 : 665 – 677 .
- Schaefer , P.W. 1967 . Pointwise bounds in the Cauchy problem for an elliptic system . SIAMJ. AppL Math , 15 : 665 – 677 .
- Trytten , G. N. 1963 . Pointwise bounds for solutions of the Cauchy problem for elliptic equations55 . Arch. Rational Mech. Anal. , 13 : 222 – 244 .