Dissipative Hyperbolic Systems

DOI10.2307/1992868zbMath0081.31102OpenAlexW4250294725MaRDI QIDQ3249946

Ralph S. Phillips

Publication date: 1957

Full work available at URL: https://doi.org/10.2307/1992868

zbMATH Keywords

partial differential equations

Related Items (16)

On the extension problem for singular accretive differential operators ⋮ Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity ⋮ Perturbation method for abstract second-order inverse problems ⋮ Dissipative Ordinary Differential Operators of Even Order ⋮ Quantum systems with diagonal singularity: Their logic and intrinsic irreversibility ⋮ Über implizite Differenzmethoden für partielle Differentialgleichungen ⋮ Weak and strong extensions of first-order differential operators in \(R^m\) ⋮ Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables ⋮ Partial inner product spaces and semi-inner product spaces ⋮ On solvability of an initial-boundary-value problem for equations of magnetohydrodynamics ⋮ An expanded Phillips theory and its application to differential operators ⋮ Initial-boundary value problems for linear hyperbolic partial differential equations of the second order ⋮ Dissipative Operators and Hyperbolic Systems of Partial Differential Equations ⋮ On the extension problem for accretive differential operators ⋮ A general transfer function representation for a class of hyperbolic distributed parameter systems ⋮ Abstract state-space models for a class of linear hyperbolic systems of balance laws

Cites Work

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• An operator-theoretical integration of the wave equation
• Über einen Satz von Herrn M. H. Stone
• Anfangs- und Randwertprobleme bei partiellen Differentialgleichungen von wechselndem Typus auf den Rädern
• The adjoint semi-group
• On Cauchy's problem in the large for wave equations
• Perturbation Theory for Semi-Groups of Linear Operators
• On Ordinary Differential Equations of any Even Order and the Corresponding Eigenfunction Expansions
• Symmetric hyperbolic linear differential equations

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