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The decay of solutions of the Carleman model

Publication ,  Journal Article
Illner, R; Reed, MC; Neunzert, H
Published in: Mathematical Methods in the Applied Sciences
January 1, 1981

We prove that for positive initial data u0, v0 ϵ C1 (R) ∩ L1 (R) vanishing at infinity, the solution u(x, t) v(x, t) of the Carleman model satisfies the estimate The constant C depends only on the initial mass m. Copyright © 1981 John Wiley & Sons, Ltd

Duke Scholars

Published In

Mathematical Methods in the Applied Sciences

DOI

EISSN

1099-1476

ISSN

0170-4214

Publication Date

January 1, 1981

Volume

3

Issue

1

Start / End Page

121 / 127

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

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Illner, R., Reed, M. C., & Neunzert, H. (1981). The decay of solutions of the Carleman model. Mathematical Methods in the Applied Sciences, 3(1), 121–127. https://doi.org/10.1002/mma.1670030110
Illner, R., M. C. Reed, and H. Neunzert. “The decay of solutions of the Carleman model.” Mathematical Methods in the Applied Sciences 3, no. 1 (January 1, 1981): 121–27. https://doi.org/10.1002/mma.1670030110.
Illner R, Reed MC, Neunzert H. The decay of solutions of the Carleman model. Mathematical Methods in the Applied Sciences. 1981 Jan 1;3(1):121–7.
Illner, R., et al. “The decay of solutions of the Carleman model.” Mathematical Methods in the Applied Sciences, vol. 3, no. 1, Jan. 1981, pp. 121–27. Scopus, doi:10.1002/mma.1670030110.
Illner R, Reed MC, Neunzert H. The decay of solutions of the Carleman model. Mathematical Methods in the Applied Sciences. 1981 Jan 1;3(1):121–127.
Journal cover image

Published In

Mathematical Methods in the Applied Sciences

DOI

EISSN

1099-1476

ISSN

0170-4214

Publication Date

January 1, 1981

Volume

3

Issue

1

Start / End Page

121 / 127

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics