Research graph
References from Exponential integrators with adaptive meshing for nonlocal blow-up dynamics. Local targets link to admitted publications; unresolved targets remain external evidence.
Some blowup results for a nonlinear parabolic equation with a gradient term
10.1137/0520060 · 1989 · External reference
Unresolved reference
2011 · External reference
Boundedness versus blow-up in a chemotaxis system
10.1016/j.jde.2004.10.022 · 2005 · External reference
Blow-up of solutions of parabolic equations with nonlinear memory
10.1016/0022-0396(87)90168-9 · 1987 · External reference
Blow-up for semilinear parabolic equations with nonlinear memory
10.1007/s00033-003-1128-6 · 2004 · External reference
Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term
10.1090/tran/7631 · 2019 · External reference
A priori estimates and Liouville-type theorems for the semilinear parabolic equations involving the nonlinear gradient source
10.1007/s00526-024-02907-1 · 2025 · External reference
Critical exponents for the p-Laplace heat equations with combined nonlinearities
10.1007/s00028-023-00922-x · 2023 · External reference
Nonexistence of positive solutions for nonlinear parabolic robin problems and hardy-leray inequalities
10.1007/s10231-022-01226-6 · 2022 · External reference
A priori estimates of solutions to local and nonlocal superlinear parabolic problems
10.1007/s00028-025-01095-5 · 2025 · External reference
A priori estimates for elliptic equations with reaction terms involving the function and its gradient
10.1007/s00208-019-01872-x · 2020 · External reference
Local behaviour of the solutions of the Chipot-Weissler equation
10.1007/s00526-023-02580-w · 2023 · External reference
Finite-time singularity formation for strong solutions to the Boussinesq system
10.1007/s40818-020-00080-0 · 2020 · External reference
Blowup time estimates for a parabolic p-laplacian equation with nonlinear gradient terms
10.1007/s00033-019-1133-z · 2019 · External reference
Asymptotic expansions for singular solutions of δu+eu=0 in a punctured disc
10.1007/s00526-021-01926-6 · 2021 · External reference
Sign-changing solution for an elliptic equation with critical growth at the boundary
10.1007/s00030-024-00990-z · 2024 · External reference
Classification of blowup solutions for a parabolic p-laplacian equation with nonlinear gradient terms
10.1016/j.jmaa.2015.12.044 · 2016 · External reference
Liouville-type theorems for the quasilinear elliptic equation and inequality with logarithmic nonlinearity
2025 · External reference
Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity
10.1016/j.jde.2023.02.030 · 2023 · External reference
Blow-up rate estimate for degenerate parabolic equation with nonlinear gradient term
10.1007/s10483-010-1313-6 · 2010 · External reference
A new high-order compact CN-ADI scheme on graded meshes for three-dimensional nonlinear PIDEs with multiple weakly singular kernels
10.1016/j.aml.2025.109697 · 2025 · External reference
Analysis of a new time-space two-grid method for the two-dimensional nonlinear nonlocal mobile/immobile transport model
10.1007/s10915-026-03314-8 · 2026 · External reference
Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations
10.1007/s00332-021-09756-8 · 2021 · External reference
Exponential integrators
10.1017/s0962492910000048 · 2010 · External reference
Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation
10.1007/s00211-024-01423-w · 2024 · External reference
A conservative and positivity-preserving discontinuous Galerkin method for the population balance equation
10.1007/s10915-026-03197-9 · 2026 · External reference
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations
10.1093/imanum/drac014 · 2023 · External reference
Semi-Lagrangian adaptive mesh method for singularly perturbed differential equation with interior turning point
10.1016/j.cnsns.2026.109896 · 2026 · External reference
Convergent finite difference schemes for nonlinear parabolic equations
10.1137/0709048 · 1972 · External reference
Unresolved reference
2000 · External reference
The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
10.4007/annals.2005.161.157 · 2005 · External reference
Critical exponents for the p-Laplace heat equations with combined nonlinearities
10.1007/s00028-023-00922-x · ExternalCitation · doi-reference
A priori estimates of solutions to local and nonlocal superlinear parabolic problems
10.1007/s00028-025-01095-5 · ExternalCitation · doi-reference
Sign-changing solution for an elliptic equation with critical growth at the boundary
10.1007/s00030-024-00990-z · ExternalCitation · doi-reference
Blow-up for semilinear parabolic equations with nonlinear memory
10.1007/s00033-003-1128-6 · ExternalCitation · doi-reference
Blowup time estimates for a parabolic p-laplacian equation with nonlinear gradient terms
10.1007/s00033-019-1133-z · ExternalCitation · doi-reference
A priori estimates for elliptic equations with reaction terms involving the function and its gradient
10.1007/s00208-019-01872-x · ExternalCitation · doi-reference
Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation
10.1007/s00211-024-01423-w · ExternalCitation · doi-reference
Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations
10.1007/s00332-021-09756-8 · ExternalCitation · doi-reference
Asymptotic expansions for singular solutions of δu+eu=0 in a punctured disc
10.1007/s00526-021-01926-6 · ExternalCitation · doi-reference
Local behaviour of the solutions of the Chipot-Weissler equation
10.1007/s00526-023-02580-w · ExternalCitation · doi-reference
A priori estimates and Liouville-type theorems for the semilinear parabolic equations involving the nonlinear gradient source
10.1007/s00526-024-02907-1 · ExternalCitation · doi-reference
Nonexistence of positive solutions for nonlinear parabolic robin problems and hardy-leray inequalities
10.1007/s10231-022-01226-6 · ExternalCitation · doi-reference
Blow-up rate estimate for degenerate parabolic equation with nonlinear gradient term
10.1007/s10483-010-1313-6 · ExternalCitation · doi-reference
A conservative and positivity-preserving discontinuous Galerkin method for the population balance equation
10.1007/s10915-026-03197-9 · ExternalCitation · doi-reference
Analysis of a new time-space two-grid method for the two-dimensional nonlinear nonlocal mobile/immobile transport model
10.1007/s10915-026-03314-8 · ExternalCitation · doi-reference
Finite-time singularity formation for strong solutions to the Boussinesq system
10.1007/s40818-020-00080-0 · ExternalCitation · doi-reference
Blow-up of solutions of parabolic equations with nonlinear memory
10.1016/0022-0396(87)90168-9 · ExternalCitation · doi-reference
A new high-order compact CN-ADI scheme on graded meshes for three-dimensional nonlinear PIDEs with multiple weakly singular kernels
10.1016/j.aml.2025.109697 · ExternalCitation · doi-reference
Semi-Lagrangian adaptive mesh method for singularly perturbed differential equation with interior turning point
10.1016/j.cnsns.2026.109896 · ExternalCitation · doi-reference
Boundedness versus blow-up in a chemotaxis system
10.1016/j.jde.2004.10.022 · ExternalCitation · doi-reference
Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity
10.1016/j.jde.2023.02.030 · ExternalCitation · doi-reference
Classification of blowup solutions for a parabolic p-laplacian equation with nonlinear gradient terms
10.1016/j.jmaa.2015.12.044 · ExternalCitation · doi-reference
Exponential integrators
10.1017/s0962492910000048 · ExternalCitation · doi-reference
Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term
10.1090/tran/7631 · ExternalCitation · doi-reference
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations
10.1093/imanum/drac014 · ExternalCitation · doi-reference
Some blowup results for a nonlinear parabolic equation with a gradient term
10.1137/0520060 · ExternalCitation · doi-reference
Convergent finite difference schemes for nonlinear parabolic equations
10.1137/0709048 · ExternalCitation · doi-reference
The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
10.4007/annals.2005.161.157 · ExternalCitation · doi-reference
