×

A new method for solving nonlinear nonstationary equations (case of one space variable). (English. Russian original) Zbl 0493.35052

Math. Notes 31, 110-114 (1982); translation from Mat. Zametki 31, 215-221 (1982).

MSC:

35K55 Nonlinear parabolic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
46F99 Distributions, generalized functions, distribution spaces
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] J. L. Lions, Non-Homogeneous Boundary-Value Problems and Applications, Springer-Verlag (1972).
[2] V. K. Kalantarov and O. A. Ladyzhenskaya, ?Collapsing solutions of quasilinear equations of parabolic and hyperbolic types,? Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,6, No. 10, 77-102 (1977). · Zbl 0354.35054
[3] A. V. Babin, ?Global solvability of nonlinear parabolic boundary-value problems,? Mat. Sb.,97, No. 1, 94-109 (1975). · Zbl 0323.35048
[4] H. J. Bremermann, Distributions, Complex Variables, and Fourier Transforms, Addison-Wesley (1965). · Zbl 0151.18102
[5] L. S. Sobolev, ?Some new problems in the theory of hyperbolic partial differential equations,? Mat. Sb.,11, No. 3, 155-203 (1942). · Zbl 0061.21509
[6] A. N. Tikhonov and A. A. Samarskii, The Equations of Mathematical Physics [in Russian], Nauka, Moscow (1953). · Zbl 0044.09302
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.