Ryo Ikehata

Mathematical Physics · 2002–2020

A researcher in the Science corpus: 14 papers; trusts 27 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 73 citations into it; #933 of 8,562 by trust here, #579 by citations
• Control and Systems Engineering — 70 citations into it; #630 of 8,257 by trust here, #688 by citations
• Computational Theory and Mathematics — 38 citations into it; #2,014 of 12,182 by trust here, #3,117 by citations
• Applied Mathematics — 33 citations into it; #1,900 of 7,620 by trust here, #1,207 by citations
• Statistical and Nonlinear Physics — 9 citations into it

Whom Ryo Ikehata trusts overall

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

1. Kenji Nishihara
2. Grzegorz Karol Karch
3. Yoshihiro Shibata
4. Grozdena Todorova
5. Qi S. Zhang
6. R. Chill
7. Borislav Yordanov
8. Alexandre Nolasco de Carvalho
9. Pierangelo Marcati
10. T. Narazaki

Who trusts Ryo Ikehata overall

1. M. DʼAbbicco
2. Wenhui Chen
3. Kenji Nishihara
4. Petronela Radu
5. Hiroshi Takeda
6. M. Ebert
7. Grozdena Todorova
8. Huijiang Zhao
9. Masahiro Ikeda
10. Borislav Yordanov

Papers from Ryo Ikehata's perspective

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

1. Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
2. An optimal estimate for the difference of solutions of two abstract evolution equations
3. A blow-up result for a nonlinear wave equation with damping: The critical case
4. The Role of Critical Exponents in Blow-Up Theorems: The Sequel
5. Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption
6. Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations
7. Diffusion phenomenon for second order linear evolution equations
8. Critical exponents for semilinear dissipative wave equations in RN
9. Global existence of solutions for semilinear damped wave equations in RN with noncompactly supported initial data
10. Damped wave equation with a critical nonlinearity

Their papers

• Diffusion phenomenon for linear dissipative wave equations in an exterior domain (2002) — 46 citations
• Diffusion phenomenon for second order linear evolution equations (2003) — 61 citations
• Wave equations with strong damping in Hilbert spaces (2013) — 127 citations
• Energy decay estimates for wave equations with a fractional damping (2012) — 64 citations
• The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case (2020) — 82 citations
• Remarks on large time behavior of the $L^{2}$-norm of solutions to strongly damped wave equations (2017) — 49 citations
• Asymptotic Profiles of Solutions for Structural Damped Wave Equations (2016) — 51 citations
• Optimal decay rate of the energy for wave equations with critical potential (2013) — 54 citations
• Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space (2013) — 62 citations
• Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption (2006) — 57 citations
• Global existence of solutions for semilinear damped wave equations in RN with noncompactly supported initial data (2005) — 164 citations
• New decay estimates for linear damped wave equations and its application to nonlinear problem (2004) — 116 citations
• Decay estimates of solutions for dissipative wave equations in R^N with lower power nonlinearities (2004) — 124 citations
• Critical exponents for semilinear dissipative wave equations in RN (2002) — 94 citations