Propagation of mild singularities for semilinear weakly hyperbolic equations

DOI10.1007/BF02791229zbMath0964.35099MaRDI QIDQ5926437

Michael Dreher, Michael Reissig

Publication date: 2 July 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

uniquenessCauchy problemlocal existenceoptimal spacesspaces with weight

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20) A priori estimates in context of PDEs (35B45) Series solutions to PDEs (35C10)

Related Items (7)

On the magnetic Schrödinger hyperbolic equation with randomized coefficients ⋮ On the plate equation with nonstationary stochastic process coefficients ⋮ Counterexample of loss of regularity for fractional order evolution equations with both degenerating and oscillating coefficients ⋮ Propagation of mild singularities in higher dimensional thermoelasticity ⋮ On the existence of low regularity solutions to semilinear generalized Tricomi equations in mixed type domains ⋮ ENERGY ESTIMATES FOR WEAKLY HYPERBOLIC SYSTEMS OF THE FIRST ORDER ⋮ On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data

Cites Work

• Construction of a parametrix for the Cauchy problem of some weakly hyperbolic equation. I
• Local solutions of fully nonlinear weakly hyperbolic differential equations in Sobolev spaces
• Microlocal Regularity Theorems for Nonsmooth Pseudodifferential Operators and Applications to Nonlinear Problems
• Stokes Multipliers And A Weakly Hyperbolic Operator
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