@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://www.numdam.org/item/ASNSP_1983_4_10_3_357_0/} }
TY - JOUR AU - Kim, Jong Uhn TI - Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$ JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1983 SP - 357 EP - 427 VL - 10 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1983_4_10_3_357_0/ LA - en ID - ASNSP_1983_4_10_3_357_0 ER -
%0 Journal Article %A Kim, Jong Uhn %T Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$ %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1983 %P 357-427 %V 10 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1983_4_10_3_357_0/ %G en %F ASNSP_1983_4_10_3_357_0
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, Serie 4, Volume 10 (1983) no. 3, pp. 357-427. http://www.numdam.org/item/ASNSP_1983_4_10_3_357_0/
[1] Complex Analysis, 2nd ed., McGraw-Hill, New York, 1966. | MR | Zbl
,[2] Conservation Laws with Dissipation, in Nonlinear Phenomena in Mathematical Sciences, ed. by U. Lakshimikantham, Academic Press. | Zbl
,[3] 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] Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity, Nonlinear Analysis (to appear). | MR | Zbl
- ,[5] Solutions in the large for equations of nonisentropic gas dynamics, Indiana Univ. Math. J., 26 (1977), pp. 137-168. | MR
,[6] Solutions to the equations of one dimensional viscoelasticity in BV, LCDS Report 81-13, Brown University (1981).
,[7] 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] Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, 1970. | MR | Zbl
,