Keywords: 35R30; 35K20; 35K58; Parabolic equation; Carleman inequality; Logarithmic stability; Partial Dirichlet-to-Neumann map; Semilinear parabolic equation;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 35K58; 35K59; 35K90; 35B40; secondary; 35Q35; 76D05; Semilinear parabolic equations; Quasilinear parabolic equations; Critical spaces; Navier-Stokes equations; Vorticity equations; Scaling invariance;
Long-time behaviour and propagation of chaos for mean field kinetic particles
Keywords: 60J60; 35K58; 82B40; Mean field interaction; Hypocoercivity; Propagation of chaos; Vlasov-Fokker-Planck equation; Particle system;
Keywords: 35K58; 34C37; Semi-linear parabolic PDE; Self-similar; Non-Lipschitz; Homoclinic connection; Heteroclinic connection;
Keywords: 93C20; 35K55; 35K10; 35K57; 35K58; Semilinear parabolic equations; Reaction-diffusion equations; Bilinear controls; Approximate controllability;
Keywords: 35B25; 35B10; 35K20; 35K58; Monotone and non-monotone boundary layers; Two independent singular perturbation parameters; Periodic-parabolic boundary value problem; Implicit function theorem;
Keywords: primary; 35K58; 35K55; secondary; 35B40; 35B44; Finite-time blowup; Blowup profile; Stability; Semilinear heat equations;
Keywords: 35K58; 35B33; 35B44Coupled parabolic system; Critical exponents; Nonglobal solution; Global solution
Keywords: 35B33; 35C20; 35K58; 35R11; 78A35; 82D37Drift–diffusion equation; Fractional dissipation; Large-time behavior
Keywords: 35K58; 35A20; 35B60Semilinear parabolic equation; Time-dependent singularity
Keywords: 35K58; 35K90; 35B40; Semilinear parabolic equation; Decay rates; Slow solutions; Exponentially decaying solutions; Dirichlet quotients;
Keywords: 35K57; 35B35; 35C07; 35K15; 35K58; 92D25Nicholson's blowflies equation; Time-delayed reaction–diffusion equation; Critical traveling waves; Oscillation; Stability
Keywords: primary; 34G20; 46N20; 35B10; secondary; 47A10; 47A53; 47D06; 35K58; Nonlinear periodic system; Evolution semigroup; Fredholm operator; Periodic solution; Normal eigenvalue; Decomposition;
Keywords: 93B05; 35K58; 35K65; 35K61; 35K45Approximate controllability; Bilinear control; Semilinear equations; Degenerate parabolic equations; Weighted Sobolev spaces
On a Lâ functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity
Keywords: 35K58; 26D10; 35B45; Semi-linear parabolic PDE; Functional derivative estimate;
Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model
Keywords: 35K57; 35K58; 35K51; 35B40; 92D25; 92D40; Diffusive Lotka-Volterra competition model; Nonlocal interaction; Global stability; Non-constant equilibrium solution;
Stability and instability of stationary solutions for sublinear parabolic equations
Keywords: 35K20; 35K58; Sublinear parabolic equation; Semilinear parabolic equation; Stability; Instability; Stationary solutions; Lyapunov functional;
A representation theorem for generators of BSDEs with general growth generators in y and its applications
Keywords: 60H10; 35K58; Backward stochastic differential equation; Representation theorem; General growth; Weak monotonicity; Viscosity solution;
Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions
Keywords: primary; 35K58; secondary; 35K45; 35B33; Superlinear parabolic equation; Singular solution; Neumann boundary condition;
Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations
Keywords: primary; 35B40; 35B30; 35K58; 35K67; 35K57; secondary; 35B33; Hardy-Hénon parabolic equation; Well-posedness; Large time behavior;
Time-dependent singularities in semilinear parabolic equations: Existence of solutions
Keywords: 35K58; 35A01; 35A20; Semilinear parabolic equation; Time-dependent singularity; Singular solution;
Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain
Keywords: 35K58; 28A12; 46E35Bessel capacities; Hausdorff capacities; Parabolic boundary; Riesz potential; Maximal solutions
Optimal results for the fractional heat equation involving the Hardy potential
Keywords: 35B25; 35K58; 35B33; 47G20Singular fractional Laplacian heat equation; Hardy’s inequality; Existence and nonexistence results; Instantaneous and complete blow up; Harnack inequality
Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part
Keywords: 35K58; 37L15Nonautonomous second-order elliptic operators; Semilinear parabolic equations; Unbounded coefficients; Stability
Asymptotic behavior of degenerate logistic equations
Keywords: 35B40; 35K58; 35B32; 35J61; Logistic nonlinearity; Asymptotic behavior; Blow up; Boundedness; Non-smooth sets; Fractal dimension;
Phase space analysis of semilinear parabolic equations
Keywords: 35S05; 35K58; 46E35; 46E20; Pseudodifferential operators; Modulation spaces; Parabolic equations; Local wellposedness;
Parabolic equations with exponential nonlinearity and measure data
Keywords: 35K15; 35K58; 35R06; Semilinear parabolic equations; Exponential nonlinearity; Parabolic Wolff potential; Radon measures;
Critical and supercritical higher order parabolic problems in RNRN
Keywords: 35K30; 35K58; 35B33; 35B40; 35B41Initial value problems for higher order parabolic equations; Semilinear parabolic equations; Critical exponents; Asymptotic behavior of solutions; Attractors
Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
Keywords: 35K10; 35K58; 65M06; 93B05; 93B07Parabolic operator; Semi-discrete Carleman estimates; Observability; Null controllability; Semi-linear equations
Invariant manifolds for parabolic equations under perturbation of the domain
Keywords: 37L05; 35K58; 35B20Domain perturbation; Invariant manifolds; Upper and lower semicontinuity; Semilinear parabolic equations; Mosco convergence
Convection–diffusion equation with absorption and non-decaying initial data
Keywords: 35B40; 35K15; 35K58
Initial trace of solutions of semilinear heat equations with absorption
Keywords: 35K58; 35K15; Heat equation; Singularities; Harnack inequalities; Radon measures; Borel measures; Barrier; Initial trace;
Linear and semilinear higher order parabolic equations in RNRN
Keywords: 35K30; 35K58; 35B33Interpolation spaces; Fractional powers of operators; Analytic semigroups; Initial value problems for higher order parabolic equations; Semilinear parabolic equations; Critical exponents
Dissipative mechanism of a semilinear higher order parabolic equation in RNRN
Keywords: 35K30; 35K58; 35B33; 35B40; 35B41Initial value problems for higher order parabolic equations; Semilinear parabolic equations; Critical exponents; Asymptotic behavior of solutions; Attractors
The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations
Keywords: 35K58; 35K15; 35B35Semilinear heat equation; Self-similar solution; Blow-up; Asymptotic behavior
Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity
Keywords: 35K05; 35K57; 35K58; 35B44Life span; Semilinear heat equation; Cauchy problem; Blow-up
A singular solution with smooth initial data for a semilinear parabolic equation
Keywords: 35K58; 35B33; 35C06; Semilinear parabolic equation; Forward self-similar solution; Singular solution; Zero initial data; Critical exponent;
Initial blow-up of solutions of semilinear parabolic inequalities
Keywords: 35B09; 35B33; 35B40; 35B44; 35B45; 35K10; 35K58; 35R45Initial blow-up; Semilinear parabolic inequalities