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On selfsimilar solutions of nonlinear heat equation with distributed parameters in case of constant heat conduction. (Russian) Zbl 0677.35052

The authors prove non-existence results for some second order boundary value problems with conditions at infinity.
Reviewer: Gh.Aniculăesei

MSC:

35K55 Nonlinear parabolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
80A20 Heat and mass transfer, heat flow (MSC2010)
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