A class of viscoelastic evolution equation on manifolds with conical singularities (Q6569362)

scientific article; zbMATH DE number 7878455

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English	A class of viscoelastic evolution equation on manifolds with conical singularities	scientific article; zbMATH DE number 7878455

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instance of

scholarly article

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title

A class of viscoelastic evolution equation on manifolds with conical singularities (English)

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Evolution Equations and Control Theory

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publication date

9 July 2024

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zbMATH Keywords

viscoelastic evolution equation

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conical singularities

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local existence

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blow-up

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lifespan of solutions

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MaRDI profile type

Publication

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cites work

Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity

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Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration

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Blow up property for viscoelastic evolution equations on manifolds with conical degeneration

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Global existence and nonexistence for semilinear parabolic equations with conical degeneration

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Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents

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Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities

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Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds

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Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity

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High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities

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Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration

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Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity

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Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity

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Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)

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Global existence, exponential decay and finite time blow-up of solutions for a class of semilinear pseudo-parabolic equations with conical degeneration

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The lifespan of solutions for a viscoelastic wave equation with a strong damping and logarithmic nonlinearity

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Blow-up phenomena for a nonlocal \(p\)-Laplace equation with Neumann boundary conditions

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On potential wells and vacuum isolating of solutions for semilinear wave equations

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On potential wells and applications to semilinear hyperbolic equations and parabolic equations

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Global well-posedness for a class of semilinear hyperbolic equations with singular potentials on manifolds with conical singularities

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Q3438091

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On global solution of nonlinear hyperbolic equations

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Stability for semilinear parabolic equations with decaying potentials in \(\mathbb{R}^n\) and dynamical approach to the existence of ground states

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Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level

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Global existence, finite time blow-up and vacuum isolating phenomena for semilinear parabolic equation with conical degeneration

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On potential wells to a semilinear hyperbolic equation with damping and conical singularity

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Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations

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Lifespan of solutions to a hyperbolic type Kirchhoff equation with arbitrarily high initial energy

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Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy

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Identifiers

zbMATH Open document ID

1543.35257

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DOI

10.3934/eect.2024005

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6569362