Calculus of Variations and Geometric Evolution Problems

1999 ◽  
Author(s):  
Fabrice Bethuel ◽  
Gerhard Huisken ◽  
Stefan Müller ◽  
Klaus Steffen
Keyword(s):  
Calculus Of Variations ◽  
Evolution Problems ◽  
Geometric Evolution

scholarly journals Regularity and time behavior of the solutions to weak monotone parabolic equations

2021 ◽  
Author(s):  
Maria Michaela Porzio
Keyword(s):  
Heat Equation ◽  
Parabolic Equations ◽  
Parabolic Problems ◽  
Summable Function ◽  
Time Behavior ◽  
Decay Estimates ◽  
Laplacian Equation ◽  
Evolution Problems ◽  
Degenerate Equations ◽  
Uniqueness Results

AbstractIn this paper, we study the behavior in time of the solutions for a class of parabolic problems including the p-Laplacian equation and the heat equation. Either the case of singular or degenerate equations is considered. The initial datum $$u_0$$ u 0 is a summable function and a reaction term f is present in the problem. We prove that, despite the lack of regularity of $$u_0$$ u 0 , immediate regularization of the solutions appears for data f sufficiently regular and we derive estimates that for zero data f become the known decay estimates for these kinds of problems. Besides, even if f is not regular, we show that it is possible to describe the behavior in time of a suitable class of solutions. Finally, we establish some uniqueness results for the solutions of these evolution problems.

scholarly journals Transitions and Geometric Evolution of Cu309 Nanocluster during Slow Cooling Process

Crystals ◽  
2018 ◽  
Vol 8 (5) ◽  
pp. 231
Author(s):  
Pengfei Ji ◽  
Yi Zhao ◽  
Mingli Wan ◽  
Jinna He ◽  
Mingli Tian ◽  
...  
Keyword(s):  
Cooling Process ◽  
Slow Cooling ◽  
Geometric Evolution

Investigation on the geometric evolution of microstructures in EDM with a composite laminated electrode

2021 ◽  
pp. 126765
Author(s):  
Kai Jiang ◽  
Xiaoyu Wu ◽  
Jianguo Lei ◽  
Zuohuan Hu ◽  
Guoli Gao ◽  
...  
Keyword(s):  
Geometric Evolution

Exponential operators, generalized polynomials and evolution problems

2001 ◽  
Vol 61 (2) ◽  
pp. 99-108 ◽  
Author(s):  
G Dattoli ◽  
A.M Mancho ◽  
M Quattromini ◽  
A Torre
Keyword(s):  
Generalized Polynomials ◽  
Evolution Problems
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