Daniel Toundykov

Control and Systems Engineering · 2006–2011

A researcher in the Science corpus: 5 papers; trusts 8 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Control and Systems Engineering — 22 citations into it; #3,185 of 8,257 by trust here, #3,145 by citations
• Mathematical Physics — 20 citations into it; #4,425 of 8,562 by trust here, #3,335 by citations
• Computational Theory and Mathematics — 13 citations into it; #5,409 of 12,182 by trust here, #5,046 by citations
• Applied Mathematics — 5 citations into it

Whom Daniel Toundykov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Enzo Vitillaro
2. Irena Lasiecka
3. Fatiha Alabau-Boussouira
4. Lorena Bociu
5. Mohammad Rammaha
6. Igor D. Chueshov
7. J. Serrin

Who trusts Daniel Toundykov overall

1. Lorena Bociu
2. Marcelo Moreira Cavalcanti
3. Irena Lasiecka
4. Peter J. Olver
5. Mohammad Rammaha

Papers from Daniel Toundykov's perspective

Ordered by how strongly the researchers Daniel Toundykov trusts endorse each paper. Same corpus, a different order for every researcher.

1. On nonlinear wave equations with degenerate damping and source terms
2. Global existence for the wave equation with nonlinear boundary damping and source terms
3. Existence for a nonlinear wave equation with damping and source terms (Differential and Integral Equations)
4. Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
5. Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping
6. Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
7. Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping☆
8. Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions
9. A potential well theory for the wave equation with nonlinear source and boundary damping terms (Glasgow Mathematical Journal)
10. Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction

Their papers

• Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms (2006) — 136 citations
• Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions (2009) — 94 citations
• Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions (2007) — 58 citations
• On a wave equation with supercritical interior and boundary sources and damping terms (2011) — 53 citations
• Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent (2007) — 54 citations