Geodesic
One application of the energy method of a H.A. Levine
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 11 (2009), pp. 48-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper one application of the energy method of H. A. Levine to initial boundary value problem for evolution first order equation is considered. Note that the problem is not coercive. 
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     title = {One application of the energy method of a {H.A.} {Levine}},
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M. O. Korpusov; A. G. Sveshnikov. One application of the energy method of a H.A. Levine. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 11 (2009), pp. 48-53. http://geodesic.mathdoc.fr/item/VCHGU_2009_11_a4/

[1] A. A. Samarskii, V. A. Galaktionov, S. P. Kurdyumov, A. P. Mikhailov, Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Tr. MIAN, 234, Nauka, M., 1987, 480 Rbibitem{2} pp. | MR

[2] H. A. Levine, “Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $Pu_t=-Au+F(u)$”, Arch. Rational. Mech. Analys, 51 (1973), 371—386 | DOI | MR | Zbl

[3] A. G. Sveshnikov, A. B. Alshin, M. O. Korpusov, Yu. D. Pletner, Lineinye i nelineinye uravneniya sobolevskogo tipa, Fizmatlit, M., 2007, 734 pp.