Keywords: primary; 35K92; secondary; 58J35; Entropy power inequality; Concavity; p-heat equation; Logarithmic Sobolev inequality; Nash inequality;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 58J35; 58J40; secondary; 43A15; 43A85; 46E35; 46F05; Besov spaces; Distributions; Doubling property; Equivalent norms; Hardy spaces; Lipschitz spaces; Self-adjoint operators; Sobolev spaces; Spaces of homogeneous type; Spectral multipliers; Trieb
Keywords: primary; 35R01; secondary; 35K65; 58J35; 35A01; 35A02; 35B44; Porous medium equation; Cartan-Hadamard manifolds; Large data; A priori estimates; Nonexistence; Blow-up;
Keywords: 58J35; 35J47; 81T13; 46L87; Heat kernel; Nonminimal operator; Asymptotic heat trace; Laplace type operator; Scalar curvature; Noncommutative torus;
Keywords: 35K08; 58J65; 58J35; Heat kernel; Manifold with ends; Parabolic manifold; Integrated resolvent;
Keywords: 32W05; 32W50; 35P15; 58J35; Hermitian complex space; Hermitian pseudometric; Canonical bundle; ââ¾-operator; Hodge-Kodaira Laplacian; Complex projective surface;
Keywords: primary; 58J35; secondary; 53C21; Gradient estimate; Nonlinear diffusion equation; Bakry-Ãmery Ricci curvature; Smooth metric measure spaces;
Keywords: 58J35; 76D05; Navier-Stokes; Formulation; Riemannian manifolds; Deformation tensor;
Keywords: primary; 53C21; 58J35; secondary; 35B53; 35K55; Gradient estimate; Liouville theorem; Smooth metric measure space; Bakry-Ãmery Ricci tensor; Log-Sobolev inequality;
Keywords: Heat kernel; Heat trace; Zeta function; Elliptic operators; Spectral invariants; Spectral asymptotics; 58J35; 58J37; 58J50; 58J52;
Keywords: 58J35; 35J47; 81T13; 46L87; Heat kernel; Nonminimal operator; Asymptotic heat trace; Laplace type operator;
Keywords: 35B40; 35K55; 35K65; 58J35; Porous medium equation; Flows on manifolds; Asymptotic behaviour; Finite propagation;
Keywords: 35K65; 58J35; 35K55; 35B40Porous Medium Equation; Hyperbolic space; Fundamental solutions; Asymptotic behavior
Keywords: 58J35; 42B20; 47D07Heat kernel lower bounds; Hölder regularity of the heat semigroup; Gradient estimates; Poincaré inequalities; De Giorgi property
On nonexistence of global solutions for a semilinear heat equation on graphs
Keywords: 35A01; 35K91; 35R02; 58J35; Semilinear heat equation; Heat kernel estimate; Graphs;
Determinants of the Laplacians on complex projective spaces Pn(C) (nâ¯â¥â¯1)
Keywords: 33C45; 35A08; 35C05; 58J35; 58J50; Complex projective space; Determinant of Laplacian; Minakshisundaram-Pleijel coefficients; Spectral zeta function;
Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds
Keywords: primary; 53C44; 58J35; 58J65; secondary; 60J60; 60H30; Hamilton differential Harnack inequality; W-entropy; Super Ricci flows;
Quantitative uniqueness of solutions to parabolic equations
Keywords: 35K10; 58J35; 35A02; Carleman estimates; Unique continuation; Parabolic equations; Vanishing order;
Liouville theorem for p-Laplacian Lichnerowicz equation on compact manifolds
Keywords: primary; 58J05; secondary; 58J35; P-Laplacian; Positive solutions; Liouville theorem;
Differential Harnack inequalities and Perelman type entropy formulae for subelliptic operators
Keywords: 53C21; 58J35; Differential Harnack inequalities; Perelman entropy; Curvature-dimension inequality; Subelliptic operators;
Singular parabolic equations of second order on manifolds with singularities
Keywords: 35K15; 35K65; 35K67; 35R01; 58J35; 53C21Elliptic operators; Singular parabolic equations; Degenerate boundary value problem; Riemannian manifolds with singularities; Sesquilinear forms; Contractive semigroups
Aronson–Bénilan estimates for the porous medium equation under the Ricci flow
Keywords: 53C44; 58J35; 35K59Porous medium equation; Ricci flow; Aronson–Bénilan estimate; Harnack inequality
The Hodge–de Rham Laplacian and LpLp-boundedness of Riesz transforms on non-compact manifolds
Keywords: 42B20; 42B30; 58J35; 47F05The Riesz transform; Riemannian manifold; The Hodge–de Rham Laplacian; Hardy spaces; Schrödinger operators; The heat kernel
Asymptotic expansion of the trace of the heat kernel associated to the Dirichlet-to-Neumann operator
Keywords: 35P20; 53C44; 58J35; 58J50Dirichlet-to-Neumann operator; Steklov eigenvalue; Heat kernel associated to Dirichlet-to-Neumann operator; Asymptotic expansion; Curvature
Integral operators on the Oshima compactification of a Riemannian symmetric space
Keywords: 22E46; 53C35; 32J05; 58J40; 58J37; 58J35; 47A10; 58C30; 20C15Riemannian symmetric spaces; Compactifications; Kernels; Regularized traces
On the heat flow equation of surfaces of constant mean curvature in higher dimensions
Keywords: heat equation; mean curvature; higher dimensions35Q99; 58J35
Heat kernel for open manifolds
Keywords: 58J35; 35K08Heat kernel; Differential forms; Green's functions
Existence and nonexistence of the global solution for the semilinear parabolic system on Riemannian manifold
Keywords: 35K45; 58J35; 35D05Existence and nonexistence; Parabolic system; Riemannian manifolds
The method of fundamental solutions for the inverse space-dependent heat source problem
Keywords: 35R30; 58J35; 58J90Method of fundamental solutions; Space-dependent heat source; Inverse problems
Singularities of renormalization group flows
Keywords: 53C44; 58J35; 53C07; 53C80Geometric flows; Renormalization group flow; Yang–Mills; BB-field
Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds
Keywords: 58J65; 58J35; 60H30Harnack inequality; Heat equation; Gradient estimate; Diffusion semigroup
Heat kernel expansions in vector bundles
Keywords: 58J35; 58J65
A new proof of the local regularity of the eta invariant of a Dirac operator
Keywords: 58J28; 58J35; 58J40Eta invariant; Heat equation methods; Pseudodifferential operators; Dirac operators
A compactness theorem of n-harmonic maps
Keywords: 35K55; 58J35; Harmonic maps; Coulomb gauge frame; Compensated-compactness;
On the null-controllability of the heat equation in unbounded domains
Keywords: 35B37; 58J35; 93B05;
Asymptotics of the porous media equation via Sobolev inequalities
Keywords: 58J35; 47J35; 35K55; Porous mdeia equation; Logarithmic Sobler inequalities; Asymptotics;
The heat flow in nonlinear Hodge theory
Keywords: 58A14; 58J35; 35J50; 35J60; 35K45; 35K55; 53C44; 76N10; Ï-Harmonic exterior forms; Nonlinear Hodge theory; Heat flow method; Exterior curvature operator; Mean curvature flow; Gas dynamics;
Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
Keywords: 58J05; 58J35; 58J65; 60J45; 60J60; 60H30; Bakry-Emery Ricci curvature; C0-diffusion property; L1-uniqueness; Liouville theorems;