Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions

We consider a parabolic problem with degeneracy in the interior of the spatial domain and Neumann boundary conditions. In particular, we will focus on the well-posedness of the problem and on Carleman estimates for the associated adjoint problem. The novelty of the present paper is that for the first time it is considered a problem with an interior degeneracy and Neumann boundary conditions so that no previous result can be adapted to this situation. As a consequence new observability inequalities are established.Comment: Accepted in J. Anal. Math. arXiv admin note: text overlap with arXiv:1508.0401

Enzymatic synthesis of furan-based polymers

Following concerns dealing with the finite nature of fossil resources and environmental pollution, interest in sustainable polymer alternatives and their production is rising. Enzymatic polymerization represents a promising solution to overcome these problems. The green nature and robustness of this type of polymerization gives rise to a multitude of biobased polymer. Within a large variety of biobased building blocks, furan derivatives and furan chemistry occupy a special position in polymer chemistry. The similarity between furan and phenyl rings opens an opportunity to a biobased alternative for phenyl-based polymers. For instance, polyethylene furanoate (PEF) is one successful example of biobased alternatives to polyethylene terephthalate (PET), which is widely used as packaging material. Interestingly, even though many studies reported the use of enzymatic routes in the synthesis of aliphatic polymers, there is a limited amount of reports on enzymatic synthesis of furan polymers. The work described in this thesis is focused on the further development of enzymatic routes for the production of various novel furan polymers with versatile properties. The obtained findings pave the way towards a transition from fossil- to bio-based polymers, as well as more environmentally friendly synthetic routes

Pelaksanaan Total Manajemen Mutu Terpadu Sebagai Upaya Meningkatkan Kualitas Pembelajaran

This study aims to determine the implementation of total integrated quality management in an effort to improve the quality of learning at SDN 010 Bengkulu Utara. This research is a school action research (School Action Research), because the research was conducted to solve the problem of the learning process in schools. This research will be conducted at SDN 010 North Bengkulu, Bengkulu Province. The research was conducted from January to March 2019. The research subjects were the entire board of teachers, employees and students from grades I to 6 at SDN 010 Bengkulu Utara. The results of the research are the implementation of total integrated quality management can improve the quality of learning at SDN 010 Bengkulu Utara, this can be seen from the final increase in the quality of learning in the planning program by 90%, implementation 95.85%, evaluation 87.5%, monitoring 93.75% and teacher performance increased 87.5%. Conclusion, Integrated total quality management is an activity that is interrelated between components with one another to form a network of functions, especially in classroom learning, and is proven to improve the quality of learning.   Keywords: Implementation of Integrated Quality Management, Quality of Learning, Improvement of Learning Outcome