An approach by difference to a quasi-linear parabolic equation

DOI10.3792/pjaa.59.375zbMath0553.35049OpenAlexW2090734949MaRDI QIDQ802082

Michiaki Watanabe

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.375

zbMATH Keywords

semigroupporous media equationcosine familynumerical approach

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Theoretical approximation in context of PDEs (35A35)

Cites Work

• Unnamed Item
• Unnamed Item
• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• Ordinary differential equations in linear topological spaces. I
• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• A numerical method for solving the problem $u_t - \Delta f (u) = 0$