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Volumn 25, Issue 1, 1997, Pages 133-151

Long time existence for the wave equation with a noise term

Author keywords

Stochastic partial differential equations; Wave equation; White noise

Indexed keywords


EID: 0031497686     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1024404282     Document Type: Article
Times cited : (47)

References (11)
  • 1
    • 0007338853 scopus 로고
    • Random nonlinear wave equations: Smoothness of the solution
    • CARMONA, R. and NUALART, D. (1988a). Random nonlinear wave equations: smoothness of the solution. Probab. Theory Related Fields 79 464-508.
    • (1988) Probab. Theory Related Fields , vol.79 , pp. 464-508
    • Carmona, R.1    Nualart, D.2
  • 2
    • 0039586150 scopus 로고
    • Random nonlinear wave equations: Propagation of singularities
    • CARMONA, R. and NUALART, D. (1988b). Random nonlinear wave equations: propagation of singularities. Ann. Probab. 16 730-751.
    • (1988) Ann. Probab. , vol.16 , pp. 730-751
    • Carmona, R.1    Nualart, D.2
  • 4
    • 0039586143 scopus 로고
    • Limit results for two stochastic partial differential equations
    • MUELLER, C. (1991a). Limit results for two stochastic partial differential equations. Stochastics 37 175-199.
    • (1991) Stochastics , vol.37 , pp. 175-199
    • Mueller, C.1
  • 5
    • 0009319932 scopus 로고
    • On the support of solutions to the heat equation with noise
    • MUELLER, C. (1991b). On the support of solutions to the heat equation with noise. Stochastics 37 225-246.
    • (1991) Stochastics , vol.37 , pp. 225-246
    • Mueller, C.1
  • 6
    • 0000620797 scopus 로고
    • Long time existence for the heat equation with a noise term
    • MUELLER, C. (1991c). Long time existence for the heat equation with a noise term. Probab. Theory Related Fields 90 505-518.
    • (1991) Probab. Theory Related Fields , vol.90 , pp. 505-518
    • Mueller, C.1
  • 7
    • 0001835257 scopus 로고
    • Large deviations for a reaction-diffusion equation with non-Gaussian perturbations
    • SOWERS, R. (1992a). Large deviations for a reaction-diffusion equation with non-Gaussian perturbations. Ann. Probab. 20 504-537.
    • (1992) Ann. Probab. , vol.20 , pp. 504-537
    • Sowers, R.1
  • 8
    • 0000612837 scopus 로고
    • Large deviations for the invariant measure of a reaction-diffusion equation with non-Gaussian perturbations
    • SOWERS, R. (1992b). Large deviations for the invariant measure of a reaction-diffusion equation with non-Gaussian perturbations. Probab. Theory Related Fields 92 393-421.
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 393-421
    • Sowers, R.1
  • 11
    • 0001164931 scopus 로고
    • Martingales with multidimensional parameter and stochastic integrals in the plane
    • Springer, Berlin
    • WALSH, J. B. (1986b). Martingales with multidimensional parameter and stochastic integrals in the plane. Lecture Notes in Math. 1215. Springer, Berlin.
    • (1986) Lecture Notes in Math. , vol.1215
    • Walsh, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.