Speed equation and its application for solving ill-posed problems of hydraulic fracturing

S. A. Khristianovich and V. P. Zheltov, in Proc. 4th World Petroleum Congress (Rome, 1955), pp. 579–586.

R. P. Nordgren, Soc. Petroleum Eng. J. 12(8), 306 (1972).

D. A. Spence and P. W. Sharp, Proc. Roy Soc. London, Ser. A 400, 289 (1985).

J. Adachi, E. Siebrits, et al., Int. J. Rock Mech. Mining Sci. 44, 739 (2007).

J. Hu and D. I. Garagash, J. Eng. Mech., ASCE 136(9), 1152 (2010).

J. A. Sethian, Level Set Methods and Fast Marching Methods (Cambridge, Cambridge University Press, 1999), p. 370.

J. Hadamard, Princeton University Bulletin, 1902, pp. 49–52.

A. N. Tychonoff, Soviet Math. 4, 1035 (1963). [A. N. Tikhonov, Dokl. AN SSSR 151, 501 (1963)].

M. M. Lavrent’ev and L. Ya. Savel’ev, Theory of Operators and Ill-Posed Problems (Novosibirsk, Institute of Mathematics im. S.L. Sobolev, 1999), p. 702; ISBN 5-86134-077-3 [in Russian].