Bulletin of the American Mathematical Society

MathSciNet review: 1568067
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Book Information:

Author: Li Ta-Tsien and Chen Yunmei
Title: Global classical solutions for nonlinear evolution equations
Additional book information: Longman Scientific and Technical, Harlow, 1992, xii+209 pp., US$69.00. ISBN 0-58205588-1.

Demetrios Christodoulou and Sergiu Klainerman, The global nonlinear stability of the Minkowski space, Princeton Mathematical Series, vol. 41, Princeton University Press, Princeton, NJ, 1993. MR 1316662

Hiroshi Fujita, On the blowing up of solutions of the Cauchy problem for $u_{t}=\Delta u+u^{1+\alpha }$, J. Fac. Sci. Univ. Tokyo Sect. I 13 (1966), 109–124 (1966). MR 214914

R. T. Glassey, On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations, J. Math. Phys. 18 (1977), no. 9, 1794–1797. MR 460850, DOI 10.1063/1.523491

Fritz John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manuscripta Math. 28 (1979), no. 1-3, 235–268. MR 535704, DOI 10.1007/BF01647974

Irving Segal, Dispersion for non-linear relativistic equations. II, Ann. Sci. École Norm. Sup. (4) 1 (1968), 459–497. MR 243788

Jalal Shatah, Global existence of small solutions to nonlinear evolution equations, J. Differential Equations 46 (1982), no. 3, 409–425. MR 681231, DOI 10.1016/0022-0396(82)90102-4

Walter A. Strauss, Nonlinear wave equations, CBMS Regional Conference Series in Mathematics, vol. 73, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1989. MR 1032250

[1]

D. Christodoulou and S. Klainerman, The global nonlinear stability of the Minkowski space, Princeton Math. Ser., vol. 41, Princeton Univ. Press, Princeton, NJ, 1993. MR 1316662 (95k:83006)

[2]

H. Fujita, On the blowing up of solutions of the Cauchy problem for , J. Fac. Sci. Univ. Tokyo Sect. IA Math 13 (1966), 109-124. MR 0214914 (35:5761)

[3]

R. T. Glassey, On the blowing-up of solutions to the Cauchy problem for nonlinear Schrödinger equations, J. Math. Phys. 18 (1977), 1794-1797. MR 0460850 (57:842)

[4]

F. John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manuscripta Math. 28 (1979), 235-268. MR 535704 (80i:35114)

[5]

I. E. Segal, Dispersion for nonlinear relativistic equations II, Ann. Sci. École Norm. Sup. (4) 1 (1968), 459-497. MR 0243788 (39:5109)

[6]

J. Shatah, Global existence of small solutions to nonlinear evolution equations, J. Differential Equations 46 (1982), 409-425. MR 681231 (84g:35036)

[7]

W. A. Strauss, Nonlinear wave equations, CBMS Regional Conf. Ser. in Math., vol. 73, Amer. Math. Soc., Providence, RI, 1989. MR 1032250 (91g:35002)