Optimal derivative loss for abstract wave equations
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Publication:6046103
DOI10.1007/s00208-022-02403-xzbMath1522.35341arXiv2109.00496OpenAlexW3196658430MaRDI QIDQ6046103
Publication date: 15 May 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.00496
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90)
Cites Work
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- On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions
- Energy estimates for strictly hyperbolic equations with low regularity in coefficients.
- \(L^p\)-\(L^q\) estimate for wave equation with bounded time dependent coefficient
- Modulus of continuity of the coefficients and loss of derivatives in the strictly hyperbolic Cauchy problem
- Energy estimates at infinity for hyperbolic equations with oscillating coefficients
- On the optimal regularity of coefficients in hyperbolic Cauchy problems.
- Hyperbolic operators with non-Lipschitz ceofficients
- On the energy estimates of semi-discrete wave equations with time dependent propagation speed
- Critical counterexamples for linear wave equations with time-dependent propagation speed
- Finite vs infinite derivative loss for abstract wave equations with singular time-dependent propagation speed
- Sharp regularity of the coefficients in the Cauchy problem for a class of evolution equations
- On the asymptotic behavior of the energy for the wave equations with time depending coefficients
- About the loss of derivatives for strictly hyperbolic equations with non-Lipschitz coefficients
- Partial Differential Equations of Hyperbolic Type
- The Well-Posedness Issue in Sobolev Spaces for Hyperbolic Systems with Zygmund-Type Coefficients
- Some examples of hyperbolic equations without local solvability
- On the Cauchy problem for second order strictly hyperbolic equations with non–regular coefficients
- Loss of regularity for the solutions to hyperbolic equations with non-regular coefficients?an application to Kirchhoff equation
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