Properties of a solution of the mixed problem for an ultraparabolic equation with memory term

DOI10.1007/S10958-012-0843-YzbMath1255.35151OpenAlexW2065017090MaRDI QIDQ690790

Nataliya P. Protsakh

Publication date: 29 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0843-y

zbMATH Keywords

exponential decaypolynomial decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (2)

Inverse problem for a weakly nonlinear ultraparabolic equation with three unknown functions of different arguments on the right-hand side ⋮ Асимптотична поведiнка розв'язку оберненої задачі для слабко нелінійного ультрапараболічного рівняння

Cites Work

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• Global solvability and asymptotic behavior for a nonlinear coupled system of viscoelastic waves with memory in a noncylindrical domain
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• \(\mathcal{L}^p\) estimates for some ultraparabolic operators with discontinuous coefficients
• Properties of solutions of a mixed problem for a nonlinear ultraparabolic equation
• Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia
• A boundary value problem for a class of quasilinear ultraparabolic equations
• Decay of the total variation and Hardy norms of solutions to parabolic conservation laws

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