메뉴 건너뛰기




Volumn 2, Issue 4, 2013, Pages 679-693

Uniqueness and hölder type stability of continuation for the linear thermoelasticity system with residual stress

Author keywords

Carleman estimate; Cauchy problem; Partial differential equations; Residual stress; Thermoelasticity

Indexed keywords


EID: 84956942099     PISSN: 21632472     EISSN: 21632480     Source Type: Journal    
DOI: 10.3934/eect.2013.2.679     Document Type: Article
Times cited : (1)

References (16)
  • 1
    • 0002088911 scopus 로고    scopus 로고
    • Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system
    • P. Albano and D. Tataru, Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system, Electronic J. of Diff. Eqns., 22 (2000), 1-15.
    • (2000) Electronic J. of Diff. Eqns , vol.22 , pp. 1-15
    • Albano, P.1    Tataru, D.2
  • 2
    • 78651372207 scopus 로고    scopus 로고
    • Carleman estimates and an inverse heat source problem for the themoelasticity system
    • M. Bellassoued and M. Yamamoto, Carleman estimates and an inverse heat source problem for the themoelasticity system, Inverse Problems, 27 (2011), 18pp.
    • (2011) Inverse Problems , vol.27
    • Bellassoued, M.1    Yamamoto, M.2
  • 3
    • 0042757401 scopus 로고    scopus 로고
    • Carleman estimates with two large parameters and applications
    • M. Eller and V. Isakov, Carleman estimates with two large parameters and applications, Contemp. Math., AMS, 268 (2000), 117-137.
    • (2000) Contemp. Math., AMS , vol.268 , pp. 117-137
    • Eller, M.1    Isakov, V.2
  • 4
    • 0034668442 scopus 로고    scopus 로고
    • Simultaneous Exact/Approximate Boundary Controllability of Thermo-Elastic Plates with Variable Thermal Coefficient and Moment Control
    • M. Eller, I. Lasiecka and R. Triggiani, Simultaneous Exact/Approximate Boundary Controllability of Thermo-Elastic Plates with Variable Thermal Coefficient and Moment Control, J. of Mathematical Analysis and Applications, 251 (2000), 452-478.
    • (2000) J. of Mathematical Analysis and Applications , vol.251 , pp. 452-478
    • Eller, M.1    Lasiecka, I.2    Triggiani, R.3
  • 6
    • 84990578241 scopus 로고
    • A Nonhyperbolic Cauchy Problem for □b, □c and its Applications to elasticity Theory
    • V. Isakov, A Nonhyperbolic Cauchy Problem for □b, □c and its Applications to elasticity Theory, Comm. Pure Appl. Math., 39 (1986), 747-767.
    • (1986) Comm. Pure Appl. Math , vol.39 , pp. 747-767
    • Isakov, V.1
  • 7
    • 0036344539 scopus 로고    scopus 로고
    • On the uniqueness of the continuation for a thermoelasticity system
    • V. Isakov, On the uniqueness of the continuation for a thermoelasticity system, SIAM J. Math. Anal., 33 (2001), 509-522.
    • (2001) SIAM J. Math. Anal , vol.33 , pp. 509-522
    • Isakov, V.1
  • 8
    • 0003430391 scopus 로고    scopus 로고
    • Inverse Problems for Partial Differential Equations, Second edition
    • Springer, New York
    • V. Isakov, Inverse Problems for Partial Differential Equations, Second edition. Applied Mathematical Sciences, 127. Springer, New York, 2006.
    • (2006) Applied Mathematical Sciences , vol.127
    • Isakov, V.1
  • 9
    • 84956956761 scopus 로고    scopus 로고
    • Carleman estimates for some anisotropic elasticity systems and applications
    • V. Isakov, Carleman estimates for some anisotropic elasticity systems and applications, Evolution Equations and Control Theory, 1 (2012), 141-154.
    • (2012) Evolution Equations and Control Theory , vol.1 , pp. 141-154
    • Isakov, V.1
  • 10
    • 34249043006 scopus 로고    scopus 로고
    • Uniqueness and stability in the Cauchy problem for the elasticity system with residual stress
    • V. Isakov, G. Nakamura and J.-N. Wang, Uniqueness and stability in the Cauchy problem for the elasticity system with residual stress, Contemp. Math. AMS, 333 (2003), 99-113.
    • (2003) Contemp. Math. AMS , vol.333 , pp. 99-113
    • Isakov, V.1    Nakamura, G.2    Wang, J.-N.3
  • 11
    • 77953305839 scopus 로고    scopus 로고
    • Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress
    • V. Isakov and N. Kim, Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress, Applicationes Mathematicae, 35 (2008), 447-465.
    • (2008) Applicationes Mathematicae , vol.35 , pp. 447-465
    • Isakov, V.1    Kim, N.2
  • 12
    • 77953317912 scopus 로고    scopus 로고
    • Carleman estimates with second large parameter for second order operators, Some application of Sobolev spaces to PDEs
    • Springer-Verlag
    • V. Isakov and N. Kim, Carleman estimates with second large parameter for second order operators, Some application of Sobolev spaces to PDEs, International Math. Ser., Springer-Verlag, 10 (2009), 135-159.
    • (2009) International Math. Ser , vol.10 , pp. 135-159
    • Isakov, V.1    Kim, N.2
  • 13
    • 77953298679 scopus 로고    scopus 로고
    • Weak Carleman estimates with large parameters for second order operators and applications to elasticity with residual stress
    • V. Isakov and N. Kim, Weak Carleman estimates with large parameters for second order operators and applications to elasticity with residual stress, Discrete Cont. Dyn. Systems-A, 27 (2010), 799-825.
    • (2010) Discrete Cont. Dyn. Systems-A , vol.27 , pp. 799-825
    • Isakov, V.1    Kim, N.2
  • 14
    • 85129472335 scopus 로고    scopus 로고
    • Analyticity of thermo-Elastic semigroups with free boundary conditions
    • I. Lasiecka and R. Triggiani, Analyticity of thermo-Elastic semigroups with free boundary conditions, Ann. Scuola Norm. Sup. Pisa CI. Sci., 27 (1998), 457-482.
    • (1998) Ann. Scuola Norm. Sup. Pisa CI. Sci , vol.27 , pp. 457-482
    • Lasiecka, I.1    Triggiani, R.2
  • 15
    • 0039214157 scopus 로고    scopus 로고
    • Hartig's law and linear elasticity with initial stress
    • C.-S. Man, Hartig's law and linear elasticity with initial stress, Inverse Problems, 14 (1998), 313-319.
    • (1998) Inverse Problems , vol.14 , pp. 313-319
    • Man, C.-S.1
  • 16
    • 84866334549 scopus 로고    scopus 로고
    • Determination of an unknown source for a thermoelastic system with a memory effect
    • B. Wu and J. Liu, Determination of an unknown source for a thermoelastic system with a memory effect, Inverse Problems, 28 (2012), 17pp.
    • (2012) Inverse Problems , vol.28
    • Wu, B.1    Liu, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.