The Semilinear Wave Equation with Non-Monotone Nonlinearity: A Review

Breather solutions for a quasilinear (1+1)-dimensional wave equation

Kohler, Simon
Reichel, Wolfgang

April 2021

We consider the $(1 + 1)$-dimensional quasilinear wave equation $g(x)w_{tt} − w_{xx} + h(x)(w^3_t)_t...

Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method

Gentile, Guido
Mastropietro, Vieri

August 2004

AbstractWe introduce a renormalized Lindstedt series for the oscillatory solutions of nonlinear wave...

On forced vibrations of a semilinear wave equation without assumptions of monotonicity

CAPOZZI A
SALVATORE, Addolorata

January 2009

We prove the existence of infinitely many periodic solutions of a forced wave equation with Dirichl...

The Semilinear Wave Equation with Non-Monotone Nonlinearity: A Review

Caicedo, Francisco
Castro, Alfonso
Duque, Rodrigo
Sanjuán, Arturo

January 2017

We review recent results on the existence of weak 2π- periodic solutions in time and space for a cla...

Existence of Solutions for a Semilinear Wave Equation With Non-Monotone Nonlinearity

Castro, Alfonso
Preskill, Benjamin, \u2709

October 2010

For double-periodic and Dirichlet-periodic boundary conditions, we prove the existence of solutions ...

A Semilinear Wave Equation with Smooth Data and No Resonance Having No Continuous Solution

Caicedo, Jose F
Castro, Alfonso

July 2009

We prove that a boundary value problem for a semilinear wave equation with smooth nonlinearity, smoo...

Existence of Solutions for a Wave Equation with Non-monotone Nonlinearity and a Small Parameter

Caicedo, Jose F
Castro, Alfonso
Duque, Rodrigo

June 2011

We provide sufficient conditions for the existence of solutions to a semilinear wave equation with n...

A Semilinear Wave Equation with Nonmonotone Nonlinearity

Castro, Alfonso
Unsurangsie, Sumalee

February 1988

We prove that a semilinear wave equation in which the range of the derivative of the nonlinearity in...

Real-valued, time-periodicweak solutions for a semilinear wave equation with periodic δ-potential

Hirsch, Andreas
Reichel, Wolfgang

January 2017

We consider the semilinear wave equation $V(x)$$u$$_{u}$ − $u$$_{xx}$ = $±|u|$$^{p-1}$$u$ with p ∈ (...

Semilinear wave equations with non-monotone nonlinear part

Duque Baracaldo, Rodrigo

January 2011

Estudiamos dos ecuaciones de onda no lineales, con parte no lineal no monótona. Los problemas están ...

Wave equation in higher dimensions - periodic solutions

Nowakowski Andrzej
Rogowski Andrzej

January 2018

We discuss the solvability of the periodic-Dirichlet problem for the wave equation with forced vibra...

Existence of Lp-solutions for a semilinear wave equation with non-monotone nonlinearity

Caicedo, Jose F
Castro, Alfonso
Duque, Rodrigo
Sanjuán, Arturo

December 2014

For Dirichlet-periodic and double periodic boundary conditions, we prove the existence of solutions ...

Existence and multiplicity results for wave equations with time-independent nonlinearity

Berkovits, Juha
Leinfelder, Herbert
Mustonen, Vesa

December 2003

We shall study the existence of time-periodic solutions for a semilinear wave equation with a given...

Semilinear problems at resonance with nonlinearities depending only on the derivative

Cid Araújo, José Ángel

December 2022

Financiado para publicación en acceso aberto: Universidade de Vigo/CISUGWe deal with second-order se...

Forced oscillations for some nonlinear, weakly dissipative wave equations

Haraux, Alain

June 1982

Periodic solutions and asymptotic behavior are studied for the equationutt − Δu + β(ut) ε f(t, x)on ...

Breather solutions for a quasilinear (1+1)-dimensional wave equation

Kohler, Simon
Reichel, Wolfgang

April 2021

We consider the $(1 + 1)$-dimensional quasilinear wave equation $g(x)w_{tt} − w_{xx} + h(x)(w^3_t)_t...

Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method

Gentile, Guido
Mastropietro, Vieri

August 2004

AbstractWe introduce a renormalized Lindstedt series for the oscillatory solutions of nonlinear wave...

On forced vibrations of a semilinear wave equation without assumptions of monotonicity

CAPOZZI A
SALVATORE, Addolorata

January 2009

We prove the existence of infinitely many periodic solutions of a forced wave equation with Dirichl...

The Semilinear Wave Equation with Non-Monotone Nonlinearity: A Review

Caicedo, Francisco
Castro, Alfonso
Duque, Rodrigo
Sanjuán, Arturo

January 2017

We review recent results on the existence of weak 2π- periodic solutions in time and space for a cla...

Existence of Solutions for a Semilinear Wave Equation With Non-Monotone Nonlinearity

Castro, Alfonso
Preskill, Benjamin, \u2709

October 2010

For double-periodic and Dirichlet-periodic boundary conditions, we prove the existence of solutions ...

A Semilinear Wave Equation with Smooth Data and No Resonance Having No Continuous Solution

Caicedo, Jose F
Castro, Alfonso

July 2009

We prove that a boundary value problem for a semilinear wave equation with smooth nonlinearity, smoo...

Existence of Solutions for a Wave Equation with Non-monotone Nonlinearity and a Small Parameter

Caicedo, Jose F
Castro, Alfonso
Duque, Rodrigo

June 2011

We provide sufficient conditions for the existence of solutions to a semilinear wave equation with n...

A Semilinear Wave Equation with Nonmonotone Nonlinearity

Castro, Alfonso
Unsurangsie, Sumalee

February 1988

We prove that a semilinear wave equation in which the range of the derivative of the nonlinearity in...

Real-valued, time-periodicweak solutions for a semilinear wave equation with periodic δ-potential

Hirsch, Andreas
Reichel, Wolfgang

January 2017

We consider the semilinear wave equation $V(x)$$u$$_{u}$ − $u$$_{xx}$ = $±|u|$$^{p-1}$$u$ with p ∈ (...

Semilinear wave equations with non-monotone nonlinear part

Duque Baracaldo, Rodrigo

January 2011

Estudiamos dos ecuaciones de onda no lineales, con parte no lineal no monótona. Los problemas están ...

Wave equation in higher dimensions - periodic solutions

Nowakowski Andrzej
Rogowski Andrzej

January 2018

We discuss the solvability of the periodic-Dirichlet problem for the wave equation with forced vibra...

Existence of Lp-solutions for a semilinear wave equation with non-monotone nonlinearity

Caicedo, Jose F
Castro, Alfonso
Duque, Rodrigo
Sanjuán, Arturo

December 2014

For Dirichlet-periodic and double periodic boundary conditions, we prove the existence of solutions ...

Existence and multiplicity results for wave equations with time-independent nonlinearity

Berkovits, Juha
Leinfelder, Herbert
Mustonen, Vesa

December 2003

We shall study the existence of time-periodic solutions for a semilinear wave equation with a given...

Semilinear problems at resonance with nonlinearities depending only on the derivative

Cid Araújo, José Ángel

December 2022

Financiado para publicación en acceso aberto: Universidade de Vigo/CISUGWe deal with second-order se...

Forced oscillations for some nonlinear, weakly dissipative wave equations

Haraux, Alain

June 1982

Periodic solutions and asymptotic behavior are studied for the equationutt − Δu + β(ut) ε f(t, x)on ...

Breather solutions for a quasilinear (1+1)-dimensional wave equation

Kohler, Simon
Reichel, Wolfgang

April 2021

We consider the $(1 + 1)$-dimensional quasilinear wave equation $g(x)w_{tt} − w_{xx} + h(x)(w^3_t)_t...

Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method

Gentile, Guido
Mastropietro, Vieri

August 2004

AbstractWe introduce a renormalized Lindstedt series for the oscillatory solutions of nonlinear wave...

On forced vibrations of a semilinear wave equation without assumptions of monotonicity

CAPOZZI A
SALVATORE, Addolorata

January 2009

We prove the existence of infinitely many periodic solutions of a forced wave equation with Dirichl...

The Semilinear Wave Equation with Non-Monotone Nonlinearity: A Review

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The Semilinear Wave Equation with Non-Monotone Nonlinearity: A Review

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