Initial-boundary value problems for linear hyperbolic partial differential equations of the second order
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Publication:2530581
DOI10.1007/BF00281202zbMath0168.08201MaRDI QIDQ2530581
Publication date: 1962
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. I
- A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order
- Mixed Problems for Linear Systems of first Order Equations
- Dissipative Hyperbolic Systems
- Mixed Problems for Hyperbolic Equations of General Order
- Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
- On Differential Operators in Hilbert Spaces
- On the differentiability of the solutions of linear elliptic differential equations
- Harmonic p-Tensors on Normal Hyperbolic Riemannian Spaces
- The Identity of Weak and Strong Extensions of Differential Operators