Keywords: Evolution equations; Mild solutions; Hilfer fractional derivative; Noncompact measure; 26A33; 34K30; 34K45; 35B10; 47D06;
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Keywords: Neutral delay differential equations; Semidiscrete approximation; 34K06; 34K40; 47D06;
Keywords: 35L05; 35P05; 47A56; 47D06; Damped wave equation; Unbounded damping; Essential spectrum; Quadratic operator function with unbounded coefficients; Schrödinger operators with complex potentials;
Keywords: primary; 35B40; 35L05; 47D06; secondary; 35P20; Wave equation; Viscoelastic damping; Memory; Decay rates; Resolvent estimates; C0-semigroups;
Keywords: 35Q92; 47D06; 45K05; 47G20; 60G51; Growth-fragmentation equation; Spectral analysis; Malthus exponent; Feynman-Kac formula;
Keywords: 47B33; 47D06; 30H10; 30C45; 30C85; Semigroup of composition operators; Eigenvalues; Spectrum; Infinitesimal generator; Domains convex in one direction; Harmonic measure;
Keywords: 47D06; 34G10; 46B45; 46B15; Hardy inequality; C0-group; Riesz basis; Symmetric basis;
Keywords: primary; 35F16; secondary; 35B40; 35C10; 45K05; 47D06; Growth-fragmentation equation; Long-time behavior; Lack of quasi-compactness; Positive semigroups;
Keywords: 42B30; 47D06; 47A60Hardy space; Strong continuity; Semigroup of linear operators
Keywords: 22E30; 47D06; 22E10; 34G10; 33C80Lie equations; Linear non-autonomous system; Wei–Norman equations; Riccati equations; Parabolic subgroups
Keywords: Weighted pseudo almost automorphic functions; Two-term fractional order differential equations; Sectorial operator; Regularized family; Mild solutions34A08; 35R11; 47D06; 45N05
Keywords: 34K06; 47D06; 47B44Delay differential equation; (Generalized) contraction semigroup; (Stochastic) evolution equation; Dissipative operators; Accretive operators
Keywords: 47A55; 47D06; 93D09; Strongly continuous semigroup; Strong stability; Polynomial stability; Robustness;
Keywords: primary; 34G20; 46N20; 35B10; secondary; 47A10; 47A53; 47D06; 35K58; Nonlinear periodic system; Evolution semigroup; Fredholm operator; Periodic solution; Normal eigenvalue; Decomposition;
Keywords: 47D06; 35J20; 34B10; Non-local conditions; Analytic semigroups; Quadratic forms; Weyl asymptotics;
Lp-estimates for the square root of elliptic systems with mixed boundary conditions
Keywords: primary; 35J47; 47D06; 47A60; secondary; 42B20; 47B44; Elliptic systems of second order; Mixed boundary conditions; Kato square root problem; Hâ functional calculus; Calderón-Zygmund decomposition for Sobolev functions; Lamé system;
Stability theory for semigroups using (Lp,Lq) Fourier multipliers
Keywords: primary; 47D06; secondary; 34D05; 35B40; 42B15; 46B20; C0-semigroup; Polynomial and exponential stability; Fourier multipliers; Type and cotype;
Spectral analysis of non-local Schrödinger operators
Keywords: 47A10; 60J85; 47D06; Random walk; Spectrum; Front propagation; Population;
On weakly DD-differentiable operators
Keywords: 37A55; 46L55; 47D06; 58B34; 81S05Differentiability; Operator; Generator; Commutator; Boundedness
Eventually and asymptotically positive semigroups on Banach lattices
Keywords: 47D06; 47B65; 34G10; 35B09; 47A10One-parameter semigroups of linear operators; Semigroups on Banach lattices; Eventually positive semigroup; Asymptotically positive semigroup; Positive spectral projection; Perron–Frobenius theory
Lp-tauberian theorems and Lp-rates for energy decay
Keywords: primary; 47D06; secondary; 34D05; 34G10; 35L05; 40E05; 44A10; Tauberian theorem; Energy decay; Damped wave equation; Laplace transforms;
A Remark on the Heat Equation with a Point Perturbation, the Feynman–Kac Formula with Local Time and Derivative Pricing
Keywords: point interactions; heat equation; heat kernel; Feynman–Kac formula; Brownian motion; local time; option pricing; Black–Scholes equation35K05; 35K08; 35Q79; 35R06; 47D06; 47D07; 47D08; 47N30; 80A20; 91G20; 91G80
Pure semigroups of isometries on Hilbert C⁎C⁎-modules
Keywords: 47D06; 46L08; 46L55; 46L53Hilbert C⁎C⁎-modules; Semigroups; Isometries; Shift
Semilinear evolution transmission problems across fractal layers
Keywords: 31C25; 35K55; 47D06; 28A80Asymptotic convergence; Transmission problems; Energy forms; Von Koch surfaces; Trace theorems; Semigroups; Semilinear parabolic equations
Existence of solutions for a class of abstract differential equations with nonlocal conditions
Keywords: 47D06; 34K30; 34B10; Analytic semigroup; Nonlocal conditions; Abstract Cauchy problem;
Existence of global solutions for second order impulsive abstract partial differential equations
Keywords: 34A37; 34K30; 35R10; 35R12; 47D06; 49K25Second order abstract Cauchy problem; Cosine function of operators; Impulsive systems; Global solutions
Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations
Keywords: 34G20; 34B05; 42A75; 47D06; 35L90Evolution family; Exponential dichotomy; Acquistapace and Terreni conditions; Almost periodic; Weighted pseudo-almost periodic; Evolution equation; Nonautonomous equation
Stieltjes transforms defined by C0-semigroups
Keywords: 26A33; 44A10; 47D06; Integral equations; C0-semigroups; Stieltjes and Laplace transforms;
Pseudo-almost periodic solutions of neutral integral and differential equations with applications
Keywords: 34D10; 34K30; 47D06; 47D09Integral equations; Deviations; Pseudo-almost periodic solutions; Neutral logistic equation
Bounded mild solutions of perturbed Volterra equations with infinite delay
Keywords: primary; 45N05; secondary; 43A60; 47D06; Volterra equations; Integral resolvent; Almost periodic; Compact almost automorphic; Almost automorphic; Asymptotically almost automorphic;
(Lp(R+,X),Lq(R+,X))-admissibility and exponential dichotomies of cocycles
Keywords: 34D05; 47D06; 93D20; (Nonlinear) (semi)flows; Exponentially bounded; strongly continuous cocycles (over (semi)flows); Exponential dichotomy;
Discrepancy principle for DSM II
Keywords: 47A52; 47D06; 47N40; 65L08; 65L09; 65L200.2.30.+g; 0.2.60.+y; 0.2.70.+dDynamical systems method (DSM); Ill-posed problems; Discrepancy principle; Evolution equation; Spectral theory
Universal contingent claims and valuation multiplicative measures with examples and applications
Keywords: 91B02; 91B28; 91B30; 91B70; 28B10; 47D06; 47H20; 47J35; Universal contingent claim; Multiplicative measure; Semilinear evolution equation for universal contingent claims; Market environment; Generators of a market environment; Eigenclaim;
Note on asynchronous exponential growth for structured population models
Keywords: 92D25; 47D06; 35B35Physiologically structured population dynamics; Asynchronous exponential growth
Spectral theory for general nonautonomous/random dispersal evolution operators
Keywords: 37H15; 39A70; 45A05; 47B60; 47D06; 47G20Nonautonomous/random dispersal equations; Principal Lyapunov exponent; Principal spectrum point; Principal eigenvalue; Strongly continuous semigroup
Linear transitivity criteria
Keywords: 37C10; 37D45; 47A16; 47D06; 54H20; Hypercyclic vectors; Topological transitivity; Semigroups of operators; Weakly mixing; Chaos;
On the spectral and growth bound of semigroups associated with hyperbolic equations
Keywords: 47D06; 35L05; Growth bound; Spectral bound; Hyperbolic equations;
The modulus semigroup for linear delay equations III
Keywords: 47D06; 47B60; Functional differential equation; Delay equation; Domination; Modulus semigroup; Banach lattice;
Universal contingent claims in a general market environment and multiplicative measures: Examples and applications
Keywords: primary 91B02; 91B28; 28B10; 47D06; 47H20; 47J35; secondary 47J05; 47B65; 47H07; Universal contingent claim; Multiplicative measure; Semilinear evolution equation for universal contingent claims; Market environment; Generators of a market environment;
Asymptotic solutions of characteristic equations
Keywords: 30C15; 30E15; 35P20; 47D06; Eigenvalues; Zeros of entire functions; Asymptotics; Forced elongation; Population dynamics;
Feynman path integrals for polynomially growing potentials
Keywords: 28C20; 81C35; 47D06; 35C20; Feynman path integrals; Schrödinger equation; Quartic oscillator potential; Asymptotic expansion;
Fredholm differential operators with unbounded coefficients
Keywords: 47D06; 35P05; 35F10; 58J20 (primary); 58E99; 47A53 (secondary); Exponential dichotomy; Fredholm operators; Fredholm index; Differential and difference operators; Evolution semigroups; Pairs of subspaces; Travelling waves; Spectral flow;
About a construction and some analysis of time inhomogeneous diffusions on monotonely moving domains
Keywords: 60J60; 31C25; 47D06; 47D07; 35K65; 35K20; 60J55; Diffusion processes; Dirichlet spaces; One-parameter semigroups and linear evolution equations; Markov semigroups and applications to diffusion processes; Parabolic partial differential equations of degener