ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS

By C. R. Luz, R. Charão. 2009

57 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5b129aa794b410ecb3f28128f752d32973201773

How researchers see this paper

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In Applied Mathematics

1. M. Ebert
2. M. DʼAbbicco
3. M. Sobajima
4. Masahiro Ikeda

In Control and Systems Engineering

1. M. Ebert
2. M. DʼAbbicco
3. Masahiro Ikeda
4. M. Sobajima
5. Michael Reissig

In Mathematical Physics

1. M. Ebert
2. M. DʼAbbicco
3. Masahiro Ikeda
4. M. Sobajima
5. Michael Reissig

Citations in the corpus

• Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation (2010, unknown): “n and a convenient Lyapunov function to derive a complete asymptotic expansion of solutions as t → ∞, and also proved that the solutions for the linear model behave as the homogenized heat kernel. In [4], da-Luz and Chara˜o studied a semi-linear dissipative plate equation whose linear part is given ”
• A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations (2017, background): “On the other hand, linear estimates for the damped plate equation with rotational inertia − ∆ u tt , for which a regularity-loss type decay appears, has been investigated in [1, 3, 5, 45].”