Uniqueness of solutions of degenerate diffusion equations with measures as initial conditions

DOI10.1016/0362-546X(88)90100-9zbMath0699.35150MaRDI QIDQ3477325

Kazuo Kobayasi

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessCauchy problemcomparison theoremsRadon measureporous media equations

Mathematics Subject Classification ID

Related Items (3)

Source-type solutions of a singular conservation law with absorption ⋮ The Cauchy problem for a singular conservation law with measures as initial conditions ⋮ Extinction and positivity for the evolution \(p\)-Laplacian equation with \(L^1\) initial value

Cites Work

• Nonlinear parabolic equations involving measures as initial conditions
• Source-type solutions of degenerate diffusion equations with absorption
• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Positivity versus localization in degenerate diffusion equations
• Effets régularisants de semi-groupes non linéaires dans des espaces de Banach
• Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
• Continuity of solutions of a singular parabolic equation
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