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 |