Construction of fundamental solutions of an abstract nonlinear parabolic equation in a neighborhood of a bifurcation point. (English. Russian original) Zbl 0658.35046
Math. USSR, Sb. 56, 295-309 (1987); translation from Mat. Sb., Nov. Ser. 128(170), No. 3, 306-320 (1985).
See the review in Zbl 0607.34056.
MSC:
| 35K55 | Nonlinear parabolic equations |
| 35A08 | Fundamental solutions to PDEs |
| 35B32 | Bifurcations in context of PDEs |
| 35G10 | Initial value problems for linear higher-order PDEs |
| 35K25 | Higher-order parabolic equations |
| 35B35 | Stability in context of PDEs |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35K15 | Initial value problems for second-order parabolic equations |
| 34G20 | Nonlinear differential equations in abstract spaces |
