The Continuity of Solutions with Respect to a Parameter to Symmetric Hyperbolic Systems

DOI10.1007/978-3-0348-0049-5_13zbMath1248.35115OpenAlexW170821329MaRDI QIDQ2904932

Wataru Ichinose

Publication date: 24 August 2012

Published in: Pseudo-Differential Operators: Analysis, Applications and Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0049-5_13

zbMATH Keywords

continuous dependence on parameters

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) First-order hyperbolic systems (35L40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

The continuity and the differentiability of solutions on parameters to the Schrödinger equations and the Dirac equations ⋮ Cauchy problems for hyperbolic systems in \(\mathbb{R}^n\) with irregular principal symbol in time and for \(x \rightarrow \infty \) ⋮ Global Cauchy problems on \(\mathbb{R}^n\) for weakly hyperbolic systems with coefficients admitting superlinear growth for \(| x| \rightarrow \infty\)

Cites Work

• Global Cauchy problems for hyperbolic systems with characteristics admitting superlinear growth for \( |x|\rightarrow \infty \)
• Partial differential equations. 4th ed
• A note on the existence and \(\hbar\)-dependency of the solution of equations in quantum mechanics
• Remarks on pseudo-differential operators
• ON THE FEYNMAN PATH INTEGRAL FOR NONRELATIVISTIC QUANTUM ELECTRODYNAMICS
• Symmetric hyperbolic linear differential equations
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