Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in BV and L 1
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 10 (1983) no. 3, pp. 357-427. 
@article{ASNSP_1983_4_10_3_357_0,
     author = {Kim, Jong Uhn},
     title = {Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {357--427},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 10},
     number = {3},
     year = {1983},
     mrnumber = {739917},
     zbl = {0534.73011},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1983_4_10_3_357_0/}
}
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Kim, Jong Uhn. Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 10 (1983) no. 3, pp. 357-427. http://archive.numdam.org/item/ASNSP_1983_4_10_3_357_0/

[1] L. Ahlfors, Complex Analysis, 2nd ed., McGraw-Hill, New York, 1966. | MR | Zbl

[2] C. Dafermos, Conservation Laws with Dissipation, in Nonlinear Phenomena in Mathematical Sciences, ed. by U. Lakshimikantham, Academic Press. | Zbl

[3] C. Dafermos, Global smooth solutions to the initial-boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity, SIAM J. Math. Anal. (to appear). | MR | Zbl

[4] C. Dafermos - L. Hsiao, Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity, Nonlinear Analysis (to appear). | MR | Zbl

[5] T.P. Liu, Solutions in the large for equations of nonisentropic gas dynamics, Indiana Univ. Math. J., 26 (1977), pp. 137-168. | MR

[6] J. Kim, Solutions to the equations of one dimensional viscoelasticity in BV, LCDS Report 81-13, Brown University (1981).

[7] M. Slemrod, Global existence, uniqueness and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity, Arch. Rational Mech. Anal., 76 (1981), pp. 97-134. | MR | Zbl

[8] E. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, 1970. | MR | Zbl