Yukihiro Seki

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All published works

Action	Title	Year	Authors
+ PDF Chat	Global existence of solutions to a parabolic attraction–repulsion chemotaxis system in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si10.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>: The attractive dominant case	2021	Toshitaka Nagai Yukihiro Seki Tetsuya Yamada
+ PDF Chat	Boundedness of solutions to a parabolic attraction–repulsion chemotaxis system in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si11.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>: The attractive dominant case	2021	Toshitaka Nagai Yukihiro Seki Tetsuya Yamada
+ PDF Chat	Refined construction of type II blow-up solutions for semilinear heat equations with Joseph–Lundgren supercritical nonlinearity	2021	Asato Mukai Yukihiro Seki
+ PDF Chat	Transition of blow-up mechanisms in<i>k</i>-equivariant harmonic map heat flow	2020	Paweł Biernat Yukihiro Seki
+	Type II blow-up mechanisms in a semilinear heat equation with Lepin exponent	2019	Yukihiro Seki
+	Type II blow-up mechanisms in a semilinear heat equation with critical Joseph–Lundgren exponent	2018	Yukihiro Seki
+ PDF Chat	Type II Blow-up Mechanism for Supercritical Harmonic Map Heat Flow	2017	Paweł Biernat Yukihiro Seki
+	Type II blow-up mechanism for supercritical harmonic map heat flow	2016	Paweł Biernat Yukihiro Seki
+	Type II blow-up mechanism for supercritical harmonic map heat flow	2016	Paweł Biernat Yukihiro Seki
+	Multiple points blow-up for the Keller-Segel system (New Role of the Theory of Abstract Evolution Equations : From a Point of View Overlooking the Individual Partial Differential Equations)	2014	Yukihiro Seki Yoshie Sugiyama Juan J. L. Velázquez
+ PDF Chat	Multiple peak aggregations for the Keller–Segel system	2012	Yukihiro Seki Yoshie Sugiyama Juan J. L. Velázquez
+	ON EXACT DEAD-CORE RATES FOR A SEMILINEAR HEAT EQUATION WITH STRONG ABSORPTION	2011	Yukihiro Seki
+ PDF Chat	On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow	2010	Yoshikazu Giga Yukihiro Seki Noriaki Umeda
+ PDF Chat	Mean Curvature Flow Closes Open Ends of Noncompact Surfaces of Rotation	2009	Yoshikazu Giga Yukihiro Seki Noriaki Umeda
+	On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow	2009	Yoshikazu Giga Yukihiro Seki Noriaki Umeda
+	Mean curvature flow closes open ends of noncompact surfaces of rotation	2009	Yoshikazu Giga Yukihiro Seki Noriaki Umeda
+	A remark on blow-up at space infinity	2009	Yukihiro Seki
+	Blow-up directions for quasilinear parabolic equations	2008	Yukihiro Seki Noriaki Umeda Ryuichi Suzuki
+ PDF Chat	BLOW-UP AT SPACE INFINITY FOR NONLINEAR HEAT EQUATIONS	2008	Yoshikazu Giga Yukihiro Seki Noriaki Umeda
+	On directional blow-up for quasilinear parabolic equations with fast diffusion	2007	Yukihiro Seki

Common Coauthors

Coauthor	Papers Together
Noriaki Umeda	6
Yoshikazu Giga	5
Paweł Biernat	4
Yoshie Sugiyama	2
Toshitaka Nagai	2
Juan J. L. Velázquez	2
Tetsuya Yamada	2
Ryuichi Suzuki	1
Asato Mukai	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The form of blow-up for nonlinear parabolic equations	1984	Andrew Lacey	6
+	On blow-up at space infinity for semilinear heat equations	2005	Yoshikazu Giga Noriaki Umeda	6
+	Blow-up in nonlinear heat equations with supercritical power nonlinearity	2007	Hiroshi Matano	6
+ PDF Chat	Finite time dead-core rate for the heat equation with a strong absorption	2008	Jong‐Shenq Guo Chin‐Chin Wu	6
+	Blow-up directions for quasilinear parabolic equations	2008	Yukihiro Seki Noriaki Umeda Ryuichi Suzuki	5
+	Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity	2000	Stathis Filippas Miguel A. Herrero Juan J.L Veláazquez	5
+	Nondegeneracy of blowup for semilinear heat equations	1989	Yoshikazu Giga Robert V. Kohn	5
+	Singularity patterns in a chemotaxis model	1996	Miguel A. Herrero J. J. L. Vel�zquez	5
+	ON EXACT DEAD-CORE RATES FOR A SEMILINEAR HEAT EQUATION WITH STRONG ABSORPTION	2011	Yukihiro Seki	5
+ PDF Chat	Blow-up directions at space infinity for solutions of semilinear heat equations	2009	Noriaki Umeda Yoshikazu Giga	5
+	Blow-up of positive solutions of semilinear heat equations	1985	Avner Friedman	5
+	Blow-up rate of type II and the braid group theory	2010	Noriko Mizoguchi	5
+	On the Melting of Ice Balls	1997	Miguel A. Herrero Juan J. L. Velázquez	5
+	On Nonexistence of type II blowup for a supercritical nonlinear heat equation	2004	Hiroshi Matano Frank Merle	4
+	Blow up rate for semilinear heat equations with subcritical nonlinearity	2004	Yoshikazu Giga Shin’ya Matsui Satoshi Sasayama	4
+	Non-existence of type II blow-up for supercritical nonlinear heat equation	2004	Hiroshi Matano Frank Merle	4
+ PDF Chat	Non self-similar blow-up solutions to the heat equation with nonlinear boundary conditions	2014	Junichi Harada	4
+	Classification of type I and type II behaviors for a supercritical nonlinear heat equation	2008	Hiroshi Matano Frank Merle	4
+ PDF Chat	Nonradial type II blow up for the energy-supercritical semilinear heat equation	2017	Charles Collot	4
+ PDF Chat	Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions	2014	Paweł Biernat	4
+	Behavior of solutions of semilinear parabolic equations as x → ∞	1992	Alexander Gladkov	4
+	Type II blow-up for the four dimensional energy critical semi linear heat equation	2012	Rémi Schweyer	4
+ PDF Chat	The global profile of blow-up at space infinity in semilinear heat equations	2008	Masahiko Shimojō	3
+	Asymptotically self‐similar blow‐up of semilinear heat equations	1985	Yoshikazu Giga Robert V. Kohn	3
+	An application of braid group theory to the finite time dead-core rate	2010	Jong‐Shenq Guo Hiroshi Matano Chin‐Chin Wu	3
+	Nonlinear Partial Differential Equations: Asymptotic Behavior of Solutions and Self-Similar Solutions	2011	美保儀我美一儀我 Jürgen Saal	3
+ PDF Chat	Dynamics Near the Ground State for the Energy Critical Nonlinear Heat Equation in Large Dimensions	2016	Charles Collot Frank Merle Pierre Raphaël	3
+	Nonexistence of type II blowup solution for a semilinear heat equation	2010	Noriko Mizoguchi	3
+ PDF Chat	Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow	2014	Pierre Raphaël Rémi Schweyer	3
+	Asymptotic behavior of positive solutions of equation Δu + K(x) u = 0 in	1992	Yi Li	3
+ PDF Chat	Blow-up sets and asymptotic behavior of interfaces for quasilinear degenerate parabolic equations in RN	1992	Kiyoshi Mochizuki Ryuichi Suzuki	3
+ PDF Chat	Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow	2012	Pierre Raphaël Rémi Schweyer	3
+	Type II blow-up mechanisms in a semilinear heat equation with critical Joseph–Lundgren exponent	2018	Yukihiro Seki	3
+	Threshold and generic type I behaviors for a supercritical nonlinear heat equation	2011	Hiroshi Matano Frank Merle	3
+ PDF Chat	Type II Blow-up Mechanism for Supercritical Harmonic Map Heat Flow	2017	Paweł Biernat Yukihiro Seki	3
+ PDF Chat	Nonexistence of Shrinkers for the Harmonic Map Flow in Higher Dimensions	2014	Piotr Bizoń Arthur Wasserman	3
+	Explosion de solutions d'équations paraboliques semilinéaires supercritiques	1994	Miguel A. Herrero Juan J. L. Velázquez	3
+	Existence of the self-similar solutions in the heat flow of harmonic maps	1999	Huijun Fan	3
+ PDF Chat	Blow-up directions at space infinity for solutions of semilinear heat equations	2005	Yoshikazu Giga Noriaki Umeda	3
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	3
+	Rate of Type II blowup for a semilinear heat equation	2007	Noriko Mizoguchi	3
+ PDF Chat	Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow	2003	Jan Bouwe van den Berg John R. King Josephus Hulshof	3
+ PDF Chat	A fast blowup solution to an elliptic-parabolic system related to chemotaxis	2006	Takasi Senba	3
+	Stability of Some Mechanisms of Chemotactic Aggregation	2002	Juan J. L. Velázquez	3
+	Maximum Principles in Differential Equations	1984	Murray H. Protter Hans F. Weinberger	3
+	On directional blow-up for quasilinear parabolic equations with fast diffusion	2007	Yukihiro Seki	3
+ PDF Chat	The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation	2005	Frank Merle Pierre Raphaël	2
+	Characterizing Blow-up Using Similarity Variables	1985	Yoshikazu Giga Robert V. Kohn	2
+ PDF Chat	Blow-up behaviour of one-dimensional semilinear parabolic equations	1993	Miguel A. Herrero Juan J. L. Velázquez	2
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	2