Ein abstraktes nichtlineares Cauchy-Kowalewskaya-Theorem mit singulären Koeffizienten. I. (An abstract nonlinear Cauchy-Kowalewskaya theorem with singular coefficients. I)

DOI10.4171/ZAA/226zbMath0643.35009OpenAlexW2566197839MaRDI QIDQ1101879

Publication date: 1987

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/226

zbMATH Keywords

Existence unique solution Lipschitz-type conditions weak singularity Banach scale strong singularity continuous nonlinear operators singular Cauchy-Kowalewskaya problem

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Cauchy-Kovalevskaya theorems (35A10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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