Asymptotical convergence evaluation for a parabolic problem arising in circuit theory
Marinov, C. A., Neittaanmäki, P. (1990). Asymptotical convergence evaluation for a parabolic problem arising in circuit theory. ZAMM, 70 (8), 344-347. doi:10.1002/zamm.19900700821
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Blanc, Pablo; Charro, Fernando; Manfredi, Juan J.; Rossi, Julio D. (Union Matematica Argentina, 2022)In this paper we characterize viscosity solutions to nonlinear parabolic equations (including parabolic Monge–Ampère equations) by asymptotic mean value formulas. Our asymptotic mean value formulas can be interpreted from ...
Marinov, Corneliu A.; Neittaanmäki, Pekka; Santanen, Jukka-Pekka (North-Holland, 1992)The modelling of the influence of interconnections on the delay time in MOS integrated circuits leads to a system of parabolic equations coupled by boundary conditions given in the form of the ordinary differential equation ...
Tai, Xue-Cheng; Neittaanmäki, Pekka (Wiley, 1991)An efficient method for solving parabolic systems is presented. The proposed method is based on the splitting‐up principle in which the problem is reduced to a series of independent 1D problems. This enables it to be used ...
Tai, Xue-Cheng; Neittaanmäki, Pekka (University of Jyväskylä, 1989)
Lukkari, Teemu; Parviainen, Mikko (American Institute of Mathematical Sciences, 2015)We prove that solutions to Cauchy problems related to the p-parabolic equations are stable with respect to the nonlinearity exponent p. More specifically, solutions with a fixed initial trace converge in an L q -space ...