supported by National Natural Science Foundation of China(12001547);Guangdong Basic and Applied Basic Research Foundation(2019A1515110907).
We study the blowing-up X of a smooth projective variety X along a smooth center B that is equipped with a projective bundle structure over a variety Z.If the Picard number p(X)is 1 and dim X is at most 4,we classify ...
This work was supported by the National Key R&D Program of China(Grant No.2020YFA0714i01);by the National Natural Science Foundation of China(Grant No.11925105).
This paper concerns the asymptotic behavior of solutions to one-dimensional semilinear parabolic equations with boundary degeneracy both in bounded and unbounded intervals.For the problem in a bounded inter-val,it is ...
This paper gives the existence of a duck solution in a slow-fast system in R2+2 using two ways. One is an indirect way and the other is a direct way. In the indirect way, the original system is once reduced to the slo...
In this paper, we show that all the nontrivial valuations on surfaces can be given by the infinite sequences of blowing-ups, and give the process of blowing-ups.
In this paper, we discuss the blowing\|up of the solutions of a class of nonlinear reaction\|diffusion equations with the general (or nonlinear) boundary conditions. On some proper assumptions, we conclude that there ...
This paper deals with the initial-boundary value mixed problems for nonlinear wave equations. By introducing the 'blowing-up facts K(u,u_i)', We may discuss the blowing up behaviours of solutions in finite time to the...