Remarks on some properties of solutions of some boundary value problems for quasi-linear parabolicand elliptic equations of the second order

DOI10.3792/pja/1195523086zbMath0133.35903OpenAlexW2095577711MaRDI QIDQ5343667

Takasi Kusano

Publication date: 1963

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

Full work available at URL: https://doi.org/10.3792/pja/1195523086

zbMATH Keywords

maximum principleuniquenessboundary value problemsquasilinear parabolic equationsquasilinear elliptic equationssecond order equations

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

Cites Work

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• On a maximum principle for quasi-linear elliptic equations
• On the maximum principle for quasi-linear parabolic equations of the second order
• A Remark on Linear Elliptic Differential Equations of Second Order
• A strong maximum principle for parabolic equations