Sur un problème aux valeurs propres non linéaire

DOI10.1007/BF02937354zbMath0444.35065MaRDI QIDQ1144732

Pham The Lai, Didier Robert

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear eigenvalue problemdifferential operatorSchwartz spacecomplex parameterhyperelliptic operators

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)

Related Items

Nonlinear eigenvalues and analytic hypoellipticity ⋮ Analyticity in partial differential equations ⋮ Asymptotic expansion for nonlinear eigenvalue problems ⋮ Singular solutions for sums of squares of vector fields ⋮ Certain sums of Squares of Vector Fields Fail to be Analytic Hypoelliptic ⋮ Some nonanalytic-hypoelliptic sums of squares of vector fields ⋮ Regularity of a class of subLaplacians on the 3-dimensional torus ⋮ Spectral instability for even non-selfadjoint anharmonic oscillators ⋮ Propagation of regularity and global hypoellipticity ⋮ Unnamed Item ⋮ Non-analytic hypoellipticity in the presence of symplecticity ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ Global regularity in ultradifferentiable classes ⋮ Second membre analytique pour un probleme aux limites elliptique d order 2m sur un polygone ⋮ Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity ⋮ Hyperfunctions and (analytic) hypoellipticity ⋮ Global analytic regularity for sums of squares of vector fields ⋮ Nonlinear eigenvalues problems with a small parameter ⋮ A family of degenerate differential operators ⋮ Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem

Cites Work

• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• Régularité analytique pour des opérateurs elliptiques singuliers en un point
• On some mathematical principles in the linear theory of damped oscillations of continua I
• Nonlinear eigenvalue problems
• Hypoellipticite pour des groupes nilpotents de rang de nilpotence 3
• Proprietes spectrales d'operators pseduo-differentiels
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