Instability of the solutions of evolutionary equations using conservation laws

DOI10.1016/0022-247X(88)90223-5zbMath0686.35014OpenAlexW1971723373MaRDI QIDQ1262449

Ramón Quintanilla

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90223-5

zbMATH Keywords

evolutionary equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65)

Related Items (1)

Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

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• Uniqueness and growth of weak solutions to certain linear differential equations in Hilbert space
• Growth and instability theorems for wave equations with dissipation, with applications in contemporary continuum mechanics
• Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics
• On a class of conservation laws in linearized and finite elastostatics

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