| 1. |
- Axelsson, B.O.M., et al.
(författare)
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Studies of the main cutting force at and near a cutting edge
- 1993
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Ingår i: European Journal of Wood and Wood Products. - 0018-3768 .- 1436-736X. ; 51:1, s. 43-48
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Tidskriftsartikel (refereegranskat)abstract
- The present work is a study of how various parameters affect the cutting forces at, and near a cutting edge when cutting wood at full speed and with all cutting edges of the tool. Statistical methods from experimental results are used to develop a model
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| 2. |
- Burtseva, Evgeniya, 1988-, et al.
(författare)
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Multi–dimensional Hardy type inequalities in Hölder spaces
- 2018
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Ingår i: Journal of Mathematical Inequalities. - Zagreb : Element D.O.O.. - 1846-579X .- 1848-9575. ; 12:3, s. 719-729
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Tidskriftsartikel (refereegranskat)abstract
- Most Hardy type inequalities concern boundedness of the Hardy type operators in Lebesgue spaces. In this paper we prove some new multi-dimensional Hardy type inequalities in Hölder spaces.
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| 3. |
- Burtseva, Evgeniya, 1988-, et al.
(författare)
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Potential type operators in PDEs and their applications
- 2017
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Ingår i: AIP Conference Proceedings. - : AIP Publishing. - 0094-243X .- 1551-7616. ; 1798
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Tidskriftsartikel (refereegranskat)abstract
- We prove the boundedness of Potential operator in weighted generalized Morrey space in terms of Matuszewska-Orlicz indices of weights and apply this result to the Hemholtz equation in r3 with a free term in such a space. We also give a short overview of some typical situations when Potential type operators arise when solving PDEs.
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| 4. |
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| 5. |
- Euler, Marianna, et al.
(författare)
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Reciprocal Bäcklund transformations of autonomous evolution equations
- 2009
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Ingår i: Theoretical and mathematical physics. - : Springer Science and Business Media LLC. - 0040-5779 .- 1573-9333. ; 159:3, s. 770-778
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Tidskriftsartikel (refereegranskat)abstract
- We discuss the construction of reciprocal Bäcklund transformations for evolution equations using integrating factors of zeroth and higher orders with their corresponding conservation laws. As an example, we consider the Harry Dym equation and the Schwarzian KdV equation.
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| 6. |
- Lundberg, Staffan, et al.
(författare)
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Cutting forces at and near a cutting edge
- 1992
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Ingår i: Better wood products through science : All-Division 5 conference "Forest Products". - Nancy : ENGREF. - 2907086030
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Konferensbidrag (refereegranskat)
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| 7. |
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| 8. |
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| 9. |
- Lundberg, Staffan
(författare)
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On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations
- 2009
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Licentiatavhandling (övrigt vetenskapligt/konstnärligt)abstract
- The aim of this Licentiate Thesis is to discuss special transformations and so-called adjoint symmetries of nonlinear partial differential equations. Nonlinear partial differential equations play an important role in the description of many physical phenomena. In order to understand the phenomena, modelled by the equations mentioned above, it is therefore necessary to obtain and analyze the solutions and the conservation laws of these equations. In this Thesis we investigate some methods to obtain conservation laws and transformations between nonlinear partial differential equations and moreover to classify nonlinear partial differential equations with respect to those methods.The main emphasis is on adjoint symmetries and transformations of evolution equations. In particular we study the adjoint symmetries and the construction of reciprocal Bäcklund transformations for evolution equations.
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| 10. |
- Lundberg, Staffan
(författare)
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On adjoint symmetries of a class of evolution equations
- 2008
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- In this Paper we study the adjoint symmetries for a class of third-order evolution equations in (1+1) dimensions. We assume that the equations admit adjoint symmetries of maximum order 2, and we obtain the complete classification with respect to this property. Examples of adjoint symmetries and integrating factors for the Korteweg-de Vries and the Schwarzian-Korteweg-de Vries equations are given.
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