Boundary value problems for semilinear parabolic equations in unbounded domains without conditions at infinity

DOI10.1007/BF02110717zbMath0877.35063MaRDI QIDQ1357987

N. M. Bokalo

Publication date: 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

uniqueness of solutionsinterrelation between the growth of the initial data and the geometry of the domain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (7)

The initial boundary value problem for the nonlinear parabolic equation in unbounded domain ⋮ Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without conditions at infinity ⋮ Linear first-order evolution problems without initial conditions ⋮ A parabolic variational inequality in unbounded domains ⋮ Initial-boundary value problems for nonlinear elliptic-parabolic equations with variable exponents of nonlinearity in unbounded domains without conditions at infinity ⋮ Higher-order parabolic equations without conditions at infinity ⋮ Construction of global solutions of partial differential equations with deviating arguments in the time variable

Cites Work

• Unnamed Item
• Unnamed Item
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• Elliptic and parabolic semilinear problems without conditions at infinity
• On unique solvability of boundary value problems for semilinear parabolic equations in unbounded domains without conditions at infinity
• The Cauchy Problem for u t = Δu m When 0 < m < 1

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