Local uniqueness in the Cauchy problem for second order elliptic equations with non-Lipschitzian coefficients

DOI10.2977/prims/1195145537zbMath0882.35034OpenAlexW2095231878MaRDI QIDQ1364343

Shigeo Tarama

Publication date: 3 March 1998

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195145537

zbMATH Keywords

Cauchy problem

Mathematics Subject Classification ID

Related Items (7)

Modulus of continuity of the coefficients and loss of derivatives in the strictly hyperbolic Cauchy problem ⋮ Backward uniqueness for parabolic operators with non-Lipschitz coefficients ⋮ On Schrödinger type evolution equations with non-Lipschitz coefficients ⋮ Backward uniqueness for parabolic operators whose coefficients are non-Lipschitz continuous in time ⋮ On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time ⋮ A new result on backward uniqueness for parabolic operators ⋮ On backward uniqueness for parabolic equations when Osgood continuity of the coefficients fails at one point

Cites Work

• Unnamed Item
• Uniqueness and non-uniqueness in the Cauchy problem
• Transport equations due to the non-Lipschitzian vector fields and fluid mechanics
• Hyperbolic operators with non-Lipschitz ceofficients
• Remarks on pseudo-differential operators
• The L^p-boundedness of pseudo-differential operators with non-regular symbols
• Spatially inhomogeneous pseudodifferential operators, I

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