A semilinear Sobolev evolution equation in a Banach space

From MaRDI portal
Publication:1233556

DOI10.1016/0022-0396(77)90009-2zbMath0346.34046OpenAlexW2011588582MaRDI QIDQ1233556

Heinz Brill

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90009-2



Related Items

A super accurate shifted tau method for numerical computation of the Sobolev-type differential equation with nonlocal boundary conditions, Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level, On the well-posedness of degenerate fractional differential equations in vector valued function spaces, On B-evolution theory and dynamic boundary conditions on a portion of the boundary, A sufficient condition for blowup of solutions to a class of pseudo-parabolic equations with a nonlocal term, Existence Results for Fractional Integrodifferential Equations of Sobolev Type with Deviating Arguments, An analysis concerning approximate controllability results for second-order Sobolev-type delay differential systems with impulses, Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay, Remarks on equations of Benjamin-Bona-Mahony type, Existence of solutions of abstract fractional integrodifferential equations of Sobolev type, A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems, On a class of abstract degenerate fractional differential equations of parabolic type, Monotone iterative technique for Sobolev type fractional integro-differential equations with fractional nonlocal conditions, The global existence and time-decay for the solutions of the fractional pseudo-parabolic equation, Controllability of Sobolev-type integrodifferential systems in Banach spaces, Controllability properties of degenerate pseudo-parabolic boundary control problems, Blow-up phenomena for a nonlinear pseudo-parabolic equation with nonlocal source, Sobolev-type fractional stochastic integrodifferential equations with nonlocal conditions in Hilbert space, Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations, Global existence and blow up of solutions for pseudo-parabolic equation with singular potential, Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions, On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions, Classification of initial energy to a pseudo-parabolic equation with \(p(x)\)-Laplacian, Asymptotic analysis for a pseudo-parabolic equation with nonstandard growth conditions, Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay, Approximate controllability results for Sobolev‐type delay differential system of fractional order without uniqueness, A new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delay, Study on Sobolev type Hilfer evolution equations with non-instantaneous impulses, The method of lower and upper solution for Hilfer evolution equations with non-instantaneous impulses, Higher regularity and finite time blow-up to nonlocal pseudo-parabolic equation with conical degeneration, Approximate controllability of non-autonomous Sobolev type integro-differential equations having nonlocal and non-instantaneous impulsive conditions, Stochastic functional differential equations of Sobolev-type with infinite delay, New blow‐up criteria for a semilinear pseudo‐parabolic equation with general nonlinearity, On the critical behavior for a Sobolev-type inequality with Hardy potential, A study of Sobolev type fractional impulsive differential systems with fractional nonlocal conditions, Existence, uniqueness and continuous dependence for implicit semilinear functional differential equations., Semilinear evolution equations and fractional powers of a closed pair of operators, On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces, Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term, A periodic problem of a semilinear pseudoparabolic equation, Pseudo-almost periodic solutions for some classes of nonautonomous partial evolution equations, The local well-posedness of solutions for a nonlinear pseudo-parabolic equation, Stochastic systems governed by B-evolutions on Hilbert spaces, FINITE TIME BLOW-UP AND GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR PSEUDO-PARABOLIC EQUATION WITH EXPONENTIAL NONLINEARITY, Classification of initial energy in a pseudo-parabolic equation with variable exponents, On the solvability of a nonlocal problem for the system of Sobolev-type differential equations with integral condition, Linear evolution equations in two Banach spaces, Stochastic B-evolutions on Hilbert spaces, On solutions of degenerate equations of sobolev type, Hölder continuous solutions for Sobolev type differential equations, On a class of measure-dependent stochastic evolution equations driven by fbm, Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity, A RBF partition of unity collocation method based on finite difference for initial-boundary value problems, On equations of Benjamin-Bona-Mahony type, On the global existence of solution to one-dimensional fourth order nonlinear Sobolev type equations, Unnamed Item, On a McKean‐Vlasov Stochastic Integro‐differential Evolution Equation of Sobolev‐Type, On some nonlinear pseudo-parabolic equations, Analysis of a pseudo-parabolic equation by potential wells, On the Benjamin-Bona-Mahony equation in higher dimensions, Global existence and blow up of solutions to a class of pseudo-parabolic equations with an exponential source, Cauchy problems of semilinear pseudo-parabolic equations, Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces, Global solutions and blow up solutions to a class of pseudo-parabolic equations with nonlocal term, Existence of solutions to nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces, Global attracting solutions to Hilfer fractional differential inclusions of Sobolev type with noninstantaneous impulses and nonlocal conditions, Global existence and blow-up for a mixed pseudo-parabolic \(p\)-Laplacian type equation with logarithmic nonlinearity, Existence of Solutions of Abstract Fractional Impulsive Integrodifferential Equations of Sobolev Type, Unnamed Item, Unnamed Item, On some evolution inequalities in a Hilbert space, A class of \((\omega,\mathbb{T})\)-periodic solutions for impulsive evolution equations of Sobolev type, Existence of solutions to Sobolev type nonlocal nonlinear functional integrodifferential equations involving Caputo derivative, On fractional powers of a pair of matrices and a plate-beam problem, A partial functional differential equation of Sobolev type, Unnamed Item, Maximum error estimates of two linearized compact difference schemes for two-dimensional nonlinear Sobolev equations, Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces, Solvability of pseudoparabolic equation with Caputo fractional derivative



Cites Work