Masahiro Ikeda

Mathematical Physics · 2011–2019

A researcher in the Science corpus: 6 papers; trusts 25 researchers and is trusted by 3 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 61 citations into it; #6,702 of 8,562 by trust here, #4,500 by citations
• Control and Systems Engineering — 43 citations into it; #6,791 of 8,257 by trust here, #6,083 by citations
• Applied Mathematics — 29 citations into it; #6,299 of 7,620 by trust here, #5,097 by citations
• Statistical and Nonlinear Physics — 9 citations into it

Whom Masahiro Ikeda trusts overall

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

1. M. DʼAbbicco
2. Qi S. Zhang
3. Yi Zhou
4. Felipe Linares
5. Kenji Nishihara
6. Grozdena Todorova
7. Ryo Ikehata
8. Nakao Hayashi
9. Ning-An Lai
10. Borislav Yordanov

Who trusts Masahiro Ikeda overall

1. Ziheng Tu
2. Jiayun Lin

Papers from Masahiro Ikeda's perspective

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

1. A blow-up result for a nonlinear wave equation with damping: The critical case
2. Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
3. Finite time blow up for critical wave equations in high dimensions
4. The Role of Critical Exponents in Blow-Up Theorems: The Sequel
5. The Lp–Lq estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
6. Damped wave equation with a critical nonlinearity
7. Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions*
8. An elementary proof of the blow-up for semilinear wave equation in high space dimensions
9. The focusing energy-critical nonlinear Schr\"odinger equation in dimensions five and higher
10. Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation

Their papers

• Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method (2019) — 62 citations
• Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data (2017) — 96 citations
• $ L^p $-$ L^q $ estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data (2017) — 57 citations
• Lifespan of solutions to the damped wave equation with a critical nonlinearity (2016) — 57 citations
• Some non-existence results for the semilinear Schrödinger equation without gauge invariance (2015) — 50 citations
• Small data blow-up of $L^2$-solution for the nonlinear Schrödinger equation without gauge invariance (2011) — 80 citations