Sur l'unicité du prolongement des solutions des équations elliptiques dégénérées

DOI10.2748/tmj/1178229251zbMath0476.35016OpenAlexW1987884536MaRDI QIDQ1160345

Kinji Watanabe

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229251

zbMATH Keywords

Lie algebradegenerate elliptic equationsunique continuation theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Continuation and prolongation of solutions to PDEs (35B60) Lie groups (22E99)

Related Items

Non prolongement unique des solutions d'opérateurs somme de carrés. (Unique non extension of solutions of sums of square operators) ⋮ Tunneling estimates and approximate controllability for hypoelliptic equations ⋮ Uniqueness of the Cauchy problem for a second order operator ⋮ Uniqueness and non uniqueness in the Cauchy problem for a class of operators of degenerate type ⋮ On the uniqueness of solution to the Cauchy problem for elliptic equations in two variables ⋮ Some uniqueness results for degenerate elliptic operators in two variables ⋮ Non unicite du problem de cauchy pour des operateurs a symbole principal reel ⋮ Non—uniqueness in the cauchy problem for partial differential operators with chatacteristics I ⋮ Unicité du problème de Cauchy pour des opérateurs du second ordre à symboles réels ⋮ Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics

Cites Work

• Uniqueness in the Cauchy problem for weakly hyperbolic operators not satisfying Levi conditions
• A unique continuation theorem for an elliptic operator of two independent variables with non-smooth double characteristics
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Unicité du prolongement des solutions pour quelques opérateurs différentiels paraboliques
• Second order elliptic operators with non smooth characteristics and the uniqueness of the Cauchy problem
• Unicite et non unicite du probleme de cauchy pour des operateurs hyperboliques a characteristiques doubles