Huaman, Dany Nina; Nuñez-Chávez, Miguel R.; Límaco, J.; Carvalho, Pitágoras P. Local null controllability for the thermistor problem. (English) Zbl 07790963 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 236, Article ID 113330, 34 p. (2023). MSC: 35Q93 93B05 93C10 93C20 35J25 35K20 35M13 78A25 78A55 65M60 65H10 65M12 PDFBibTeX XMLCite \textit{D. N. Huaman} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 236, Article ID 113330, 34 p. (2023; Zbl 07790963) Full Text: DOI
Límaco, J.; Nuñez-Chávez, Miguel R.; Huaman, Dany Nina Exact controllability for nonlocal and nonlinear hyperbolic PDEs. (English) Zbl 1476.35135 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112569, 24 p. (2022). MSC: 35L20 35R09 93B05 93C10 93C20 PDFBibTeX XMLCite \textit{J. Límaco} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112569, 24 p. (2022; Zbl 1476.35135) Full Text: DOI
Wang, Xingchang; Chen, Yuxuan; Yang, Yanbing; Li, Jiaheng; Xu, Runzhang Kirchhoff-type system with linear weak damping and logarithmic nonlinearities. (English) Zbl 1437.35471 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 188, 475-499 (2019). MSC: 35L53 35L71 35B40 PDFBibTeX XMLCite \textit{X. Wang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 188, 475--499 (2019; Zbl 1437.35471) Full Text: DOI
Xiao, Yanping; Sun, Chunyou Higher-order asymptotic attraction of pullback attractors for a reaction-diffusion equation in non-cylindrical domains. (English) Zbl 1304.35128 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, Part A, 309-322 (2015). MSC: 35B41 35K57 35B40 35B50 PDFBibTeX XMLCite \textit{Y. Xiao} and \textit{C. Sun}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, 309--322 (2015; Zbl 1304.35128) Full Text: DOI
Kim, Daewook; Kim, Sangil; Jung, Il Hyo Stabilization for the Kirchhoff type equation from an axially moving heterogeneous string modeling with boundary feedback control. (English) Zbl 1238.35153 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3598-3617 (2012). MSC: 35Q74 35D35 74K05 65Z05 PDFBibTeX XMLCite \textit{D. Kim} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3598--3617 (2012; Zbl 1238.35153) Full Text: DOI
Guesmia, Senoussi Existence results for some Kirchhoff-Carrier problems. (English) Zbl 1237.35007 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2904-2921 (2012). MSC: 35A01 35L80 35L72 47H10 74K05 76M45 PDFBibTeX XMLCite \textit{S. Guesmia}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2904--2921 (2012; Zbl 1237.35007) Full Text: DOI
Lourêdo, A. T.; Milla Miranda, M. Local solutions for a coupled system of Kirchhoff type. (English) Zbl 1230.35055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7094-7110 (2011). Reviewer: Jong Yeoul Park (Pusan) MSC: 35L05 35L70 35G30 PDFBibTeX XMLCite \textit{A. T. Lourêdo} and \textit{M. Milla Miranda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7094--7110 (2011; Zbl 1230.35055) Full Text: DOI
Truong, Le Xuan; Ngoc, Le Thi Phuong; Dinh, Alain Pham Ngoc; Long, Nguyen Thanh Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type. (English) Zbl 1227.35075 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 6933-6949 (2011). MSC: 35B40 37B25 35L71 35L20 35B44 PDFBibTeX XMLCite \textit{L. X. Truong} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 6933--6949 (2011; Zbl 1227.35075) Full Text: DOI arXiv
Carvalho, R. R.; Milla Miranda, M. The existence and decay of solutions of a damped Kirchhoff-Carrier equation in Banach spaces. (English) Zbl 1198.35157 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 2101-2116 (2010). MSC: 35L90 35B35 35L72 35R09 35B40 PDFBibTeX XMLCite \textit{R. R. Carvalho} and \textit{M. Milla Miranda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 2101--2116 (2010; Zbl 1198.35157) Full Text: DOI
Truong, Le Xuan; Ngoc, Le Thi Phuong; Long, Nguyen Thanh High-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed homogeneous conditions. (English) Zbl 1173.35603 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1-2, 467-484 (2009). MSC: 35L70 35C20 35L20 35Q72 45K05 PDFBibTeX XMLCite \textit{L. X. Truong} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1--2, 467--484 (2009; Zbl 1173.35603) Full Text: DOI
Wang, Shubin; Xu, Guixiang The Cauchy problem for the Rosenau equation. (English) Zbl 1171.35424 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1-2, 456-466 (2009). MSC: 35L30 35Q30 76B15 35L75 PDFBibTeX XMLCite \textit{S. Wang} and \textit{G. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1--2, 456--466 (2009; Zbl 1171.35424) Full Text: DOI
de Caldas, C. S. Q.; Limaco, J.; Barreto, R. K. Remarks on the beam evolution equations in noncylindrical domains. (English) Zbl 1154.74023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 693-710 (2009). MSC: 74K10 74H20 74H25 74H40 35Q72 PDFBibTeX XMLCite \textit{C. S. Q. de Caldas} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 693--710 (2009; Zbl 1154.74023) Full Text: DOI
Izaguirre, R.; Fuentes, R.; Milla Miranda, M. Existence of local solutions of the Kirchhoff-Carrier equation in Banach spaces. (English) Zbl 1162.35427 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3565-3580 (2008). MSC: 35L90 35L70 35B35 35L20 45K05 PDFBibTeX XMLCite \textit{R. Izaguirre} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3565--3580 (2008; Zbl 1162.35427) Full Text: DOI
Clark, H. R.; Cousin, A. T.; Frota, C. L.; Límaco, J. On the dissipative Boussinesq equation in a non-cylindrical domain. (English) Zbl 1117.35307 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 8, 2321-2334 (2007). MSC: 35B40 35Q53 32Q35 35A05 PDFBibTeX XMLCite \textit{H. R. Clark} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 8, 2321--2334 (2007; Zbl 1117.35307) Full Text: DOI
Clark, H. R.; Límaco, J.; Clark, M. R. Quasilinear equation in moving domain. (English) Zbl 1070.35109 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 7, 1241-1256 (2005). MSC: 35Q72 74K05 35B40 PDFBibTeX XMLCite \textit{H. R. Clark} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 7, 1241--1256 (2005; Zbl 1070.35109) Full Text: DOI
Nguyen Thanh Long On the nonlinear wave equation \(u_{tt}-B(t,\|u\|^2, \|u_{x}\|^2, \|u_t\|^2)u_{xx}= f(x,t,u,u_x,u_t,\|u\|^2,\|u_x\|^2,\|u_t\|^2)\) associated with mixed homogeneous conditions. (English) Zbl 1053.35107 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 7-8, 933-959 (2004). Reviewer: Nickolaj A. Lar’kin (Maringa) MSC: 35L70 35L20 35C20 PDFBibTeX XMLCite \textit{Nguyen Thanh Long}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 7--8, 933--959 (2004; Zbl 1053.35107) Full Text: DOI
Long, Nguyen Thanh; Dung, Bui Tien On the nonlinear wave equation \(u_{tt}-B(\|u_{x} {\|}^{2})u_{xx}\) = \(f(x,t,u,u_{x},u_{t},{\|}u_{x}{\|}^{2})\) associated with the mixed homogeneous conditions. (English) Zbl 1028.35091 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 5, 493-519 (2003). Reviewer: Marie Kopáčková (Praha) MSC: 35L20 35L70 PDFBibTeX XMLCite \textit{N. T. Long} and \textit{B. T. Dung}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 5, 493--519 (2003; Zbl 1028.35091) Full Text: DOI