Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems
Publication
, Journal Article
Beals, M; Reed, M
Published in: Transactions of the American Mathematical Society
January 1, 1984
The authors develop a calculus of pseudodifferential operators with nonsmooth coefficients in order to study the regularity of solutions to linear equations P(x, D)u = f. The regularity theorems are similar to those of Bony, but the calculus and the methods of proof are quite different. We apply the linear results to study the regularity properties of solutions to quasilinear partial differential equations. © 1984 American Mathematical Society.
Duke Scholars
Published In
Transactions of the American Mathematical Society
DOI
ISSN
0002-9947
Publication Date
January 1, 1984
Volume
285
Issue
1
Start / End Page
159 / 184
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
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Beals, M., & Reed, M. (1984). Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Transactions of the American Mathematical Society, 285(1), 159–184. https://doi.org/10.1090/S0002-9947-1984-0748836-7
Beals, M., and M. Reed. “Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems.” Transactions of the American Mathematical Society 285, no. 1 (January 1, 1984): 159–84. https://doi.org/10.1090/S0002-9947-1984-0748836-7.
Beals M, Reed M. Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Transactions of the American Mathematical Society. 1984 Jan 1;285(1):159–84.
Beals, M., and M. Reed. “Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems.” Transactions of the American Mathematical Society, vol. 285, no. 1, Jan. 1984, pp. 159–84. Scopus, doi:10.1090/S0002-9947-1984-0748836-7.
Beals M, Reed M. Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Transactions of the American Mathematical Society. 1984 Jan 1;285(1):159–184.
Published In
Transactions of the American Mathematical Society
DOI
ISSN
0002-9947
Publication Date
January 1, 1984
Volume
285
Issue
1
Start / End Page
159 / 184
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics