In this paper,we investigate the initial boundary value problem for a plate equation with nonlocal source term.The local,global existence and exponential decay result are established under certain conditions.Moreover,...In this paper,we investigate the initial boundary value problem for a plate equation with nonlocal source term.The local,global existence and exponential decay result are established under certain conditions.Moreover,we also prove the blow-up in finite time and the lifespan of solution under certain conditions.展开更多
In this paper,blow-up phenomena of solutions to a class of parabolic equations for porous media with nonlocal source terms cross-coupled under Dirichlet and Neumann boundary conditions are studied.The differential ine...In this paper,blow-up phenomena of solutions to a class of parabolic equations for porous media with nonlocal source terms cross-coupled under Dirichlet and Neumann boundary conditions are studied.The differential inequality techniques are used to obtain the lower bounds on the blow up time of the equation set under two different boundary conditions.展开更多
In this paper,we establish the lower bounds estimate of the blow up time for solutions to the nonlocal cross-coupled porous medium equations with nonlocal source terms under Dirichlet and Neumann boundary conditions.T...In this paper,we establish the lower bounds estimate of the blow up time for solutions to the nonlocal cross-coupled porous medium equations with nonlocal source terms under Dirichlet and Neumann boundary conditions.The results are obtained by using some differential inequality technique.展开更多
基金Supported by National Natural Science Foundation of China(11801145)Key Scientific Research Foundation of the Higher Education Institutions of Henan Province,China(Grant No.19A110004)and(2018GGJS068)。
文摘In this paper,we investigate the initial boundary value problem for a plate equation with nonlocal source term.The local,global existence and exponential decay result are established under certain conditions.Moreover,we also prove the blow-up in finite time and the lifespan of solution under certain conditions.
基金Supported by Natural Science Basic Research Project of Shaanxi Province(2019JM-534)Soft Science Project of Shaanxi Province(2019KRM169)+3 种基金Project on Higher Education Teaching Reform of Xi’an International University(2019B36)Project of Qi Fang Education Research Institute of Xi’an International University(21mjy07)Special Project Support of the 14th Five Year Plan of the China Association of Higher Education(21DFD04)the Youth Innovation Team of Shaanxi Universities
文摘In this paper,blow-up phenomena of solutions to a class of parabolic equations for porous media with nonlocal source terms cross-coupled under Dirichlet and Neumann boundary conditions are studied.The differential inequality techniques are used to obtain the lower bounds on the blow up time of the equation set under two different boundary conditions.
基金supported by Natural Science Basic Research Project of Shaanxi Province(2019JM-534)Soft Science Project of Shaanxi Province(2019KRM169)+2 种基金Planned Projects of the 13th Five-year Plan for Education Science of Shaanxi Province(SGH18H544)Project on Higher Education Teaching Reform of Xi'an International University(2019B36)the Youth Innovation Team of Shaanxi Universities.
文摘In this paper,we establish the lower bounds estimate of the blow up time for solutions to the nonlocal cross-coupled porous medium equations with nonlocal source terms under Dirichlet and Neumann boundary conditions.The results are obtained by using some differential inequality technique.
